Number of the day: 81813

Properties of the number 81813:

81813 = 3 × 27271 is semiprime and squarefree.
81813 has 2 distinct prime factors, 4 divisors, 33 antidivisors and 54540 totatives.
81813 has a semiprime digit sum 21 in base 10.
81813 has a Fibonacci digit sum 21 in base 10.
81813 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 81813 results in a sphenic number.
81813 = 40907² - 40906² = 13637² - 13634² is the difference of 2 nonnegative squares in 2 ways.
81813 is the sum of 2 positive triangular numbers.
81813 is the difference of 2 positive pentagonal numbers in 1 way.
81813 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
81813 = 1² + 4² + 286² is the sum of 3 positive squares.
81813² is the sum of 3 positive squares.
81813 is a proper divisor of 1901⁵⁴ - 1.
81813 is an emirpimes in (at least) the following bases: 3, 6, 7, 9, 15, 19, 33, 35, 48, 51, 55, 61, 67, 71, 78, 81, 85, and 99.
81813 is palindromic in (at least) base -55.
81813 in base 54 = S33 and consists of only the digits '3' and 'S'.

The number 81813 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A053948: Numbers n such that n^2 contains only digits {3,6,9}.
A137041: Numbers n such that n and the square of n use only the digits 1, 3, 6, 8 and 9.

Number of the day: 3509167

Properties of the number 3509167:

3509167 is a cyclic number.
3509167 = 19 × 184693 is semiprime and squarefree.
3509167 has 2 distinct prime factors, 4 divisors, 27 antidivisors and 3324456 totatives.
3509167 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 3509167 results in a sphenic number.
3509167 = 1754584² - 1754583² = 92356² - 92337² is the difference of 2 nonnegative squares in 2 ways.
3509167 is the sum of 2 positive triangular numbers.
3509167 is the difference of 2 positive pentagonal numbers in 2 ways.
3509167 is not the sum of 3 positive squares.
3509167² = 2134308² + 2785495² is the sum of 2 positive squares in 1 way.
3509167² is the sum of 3 positive squares.
3509167 is a proper divisor of 37³⁰⁷⁸² - 1.
3509167 is an emirpimes in (at least) the following bases: 4, 6, 11, 13, 24, 25, 26, 31, 38, 42, 43, 44, 45, 47, 53, 55, 58, 64, 71, 76, 81, 83, 86, 87, 93, 95, 99, and 100.

The number 3509167 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A159339: Transform of A056594 by the T_{1,0} transformation (see link)

Number of the day: 96063

Properties of the number 96063:

96063 is a cyclic number.
96063 = 3 × 11 × 41 × 71 is the 86804^th composite number and is squarefree.
96063 has 4 distinct prime factors, 16 divisors, 31 antidivisors and 56000 totatives.
Reversing the decimal digits of 96063 results in a sphenic number.
96063 = 48032² - 48031² = 16012² - 16009² = 4372² - 4361² = 1472² - 1439² = 1192² - 1151² = 712² - 641² = 452² - 329² = 332² - 119² is the difference of 2 nonnegative squares in 8 ways.
96063 is the sum of 2 positive triangular numbers.
96063 is the difference of 2 positive pentagonal numbers in 4 ways.
96063 is not the sum of 3 positive squares.
96063² = 21087² + 93720² is the sum of 2 positive squares in 1 way.
96063² is the sum of 3 positive squares.
96063 is a proper divisor of 283¹⁰ - 1.
96063 is palindromic in (at least) the following bases: 85, and -62.
96063 in base 61 = Pnn and consists of only the digits 'P' and 'n'.

The number 96063 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A115132: Partial sums of A064059.
A123789: Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1x5 which is flat, i.e. with all blocks in parallel position and symmetric after a rotation by 180 degrees.

Number of the day: 378349

Properties of the number 378349:

378349 is a cyclic number.
378349 = 67 × 5647 is semiprime and squarefree.
378349 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 372636 totatives.
378349 has a semiprime digit sum 34 in base 10.
378349 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 378349 results in an emirpimes.
378349 = (71 × 72)/2 + … + (137 × 138)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
378349 = 189175² - 189174² = 2857² - 2790² is the difference of 2 nonnegative squares in 2 ways.
378349 is the sum of 2 positive triangular numbers.
378349 is the difference of 2 positive pentagonal numbers in 2 ways.
378349 = 72² + 77² + 606² is the sum of 3 positive squares.
378349² is the sum of 3 positive squares.
378349 is a proper divisor of 853³³ - 1.
378349 = '37834' + '9' is the concatenation of 2 semiprime numbers.
378349 is an emirpimes in (at least) the following bases: 2, 10, 11, 12, 16, 18, 26, 27, 28, 32, 34, 42, 43, 45, 46, 47, 51, 55, 58, 60, 62, 63, 64, 65, 67, 69, 70, 71, 73, 75, 83, 91, 93, 94, 96, 97, and 100.
378349 is palindromic in (at least) base -92.

Number of the day: 1437

Properties of the number 1437:

1437 is a cyclic number.
1437 = 3 × 479 is semiprime and squarefree.
1437 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 956 totatives.
1437 has an emirpimes digit sum 15 in base 10.
1437 has a triangular digit sum 15 in base 10.
Reversing the decimal digits of 1437 results in an emirpimes.
1437 = 719² - 718² = 241² - 238² is the difference of 2 nonnegative squares in 2 ways.
1437 is the sum of 2 positive triangular numbers.
1437 is the difference of 2 positive pentagonal numbers in 1 way.
1437 = 5² + 16² + 34² is the sum of 3 positive squares.
1437² is the sum of 3 positive squares.
1437 is a proper divisor of 7²³⁹ - 1.
1437 is an emirpimes in (at least) the following bases: 3, 4, 10, 11, 19, 20, 23, 29, 30, 33, 34, 35, 36, 37, 43, 45, 46, 47, 48, 49, 55, 59, 60, 63, 66, 67, 68, 69, 71, 73, 79, 82, 92, 93, and 99.
1437 is palindromic in (at least) the following bases: 12, and -35.
1437 in base 5 = 21222 and consists of only the digits '1' and '2'.
1437 in base 12 = 9b9 and consists of only the digits '9' and 'b'.
1437 in base 37 = 11V and consists of only the digits '1' and 'V'.

The number 1437 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003037: Smallest number of complexity n: smallest number requiring n 1's to build using +, * and ^.
A032523: Index of first occurrence of n as a term in A001203, the continued fraction for Pi.
A051227: Bernoulli number B_{2n} has denominator 42.
A103471: Number of polyominoes without holes consisting of 5 regular unit n-gons.
A123142: Number of benzenoids with 23 hexagons, C_(2v) symmetry and containing n carbon atoms.
A124178: Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + n^13 + n^15 + n^17 + n^19 is prime.
A191723: Dispersion of A047215, (numbers >1 and congruent to 0 or 2 mod 5), by antidiagonals.
A204867: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order
A219852: T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
A250167: T(n,k)=Number of length n+1 0..k arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero

Number of the day: 21846217

Properties of the number 21846217:

21846217 is a cyclic number.
21846217 = 1621 × 13477 is semiprime and squarefree.
21846217 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 21831120 totatives.
21846217 has an emirp digit sum 31 in base 10.
21846217 = 10923109² - 10923108² = 7549² - 5928² is the difference of 2 nonnegative squares in 2 ways.
21846217 is the sum of 2 positive triangular numbers.
21846217 is the difference of 2 positive pentagonal numbers in 2 ways.
21846217 = 2436² + 3989² = 216² + 4669² is the sum of 2 positive squares in 2 ways.
21846217 = 142² + 303² + 4662² is the sum of 3 positive squares.
21846217² = 10512060² + 19150817² = 9978025² + 19434408² = 2017008² + 21752905² = 12235308² + 18098465² is the sum of 2 positive squares in 4 ways.
21846217² is the sum of 3 positive squares.
21846217 is a proper divisor of 433¹⁰¹⁰⁷ - 1.
21846217 = '218' + '46217' is the concatenation of 2 semiprime numbers.
21846217 is an emirpimes in (at least) the following bases: 7, 9, 12, 14, 16, 18, 19, 29, 33, 34, 35, 38, 43, 45, 47, 50, 52, 53, 54, 61, 64, 66, 67, 73, 74, 77, 78, 82, 83, 90, 91, 97, 99, and 100.

Number of the day: 399301

Properties of the number 399301:

399301 = 7² × 29 × 281 is the 365494^th composite number and is not squarefree.
399301 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 329280 totatives.
399301 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 399301 results in a prime.
399301 = 199651² - 199650² = 28525² - 28518² = 6899² - 6870² = 4099² - 4050² = 1085² - 882² = 851² - 570² is the difference of 2 nonnegative squares in 6 ways.
399301 is the sum of 2 positive triangular numbers.
399301 is the difference of 2 positive pentagonal numbers in 5 ways.
399301 = 399² + 490² = 49² + 630² is the sum of 2 positive squares in 2 ways.
399301 = 81² + 104² + 618² is the sum of 3 positive squares.
399301² = 227360² + 328251² = 80899² + 391020² = 61740² + 394499² = 275380² + 289149² is the sum of 2 positive squares in 4 ways.
399301² is the sum of 3 positive squares.
399301 is a proper divisor of 181¹⁴ - 1.
399301 = '39' + '9301' is the concatenation of 2 semiprime numbers.
399301 is palindromic in (at least) base -85.

The number 399301 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A230759: Values of x such that x^2 + y^2 = 53^n with x and y coprime and 0 < x < y.