Number of the day: 5629

Properties of the number 5629:

5629 is a cyclic number.
5629 = 13 × 433 is semiprime and squarefree.
5629 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 5184 totatives.
5629 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 5629 results in a sphenic number.
5629 = 2815² - 2814² = 223² - 210² is the difference of 2 nonnegative squares in 2 ways.
5629 is the difference of 2 positive pentagonal numbers in 2 ways.
5629 = 27² + 70² = 2² + 75² is the sum of 2 positive squares in 2 ways.
5629 = 2² + 45² + 60² is the sum of 3 positive squares.
5629² = 1885² + 5304² = 300² + 5621² = 3780² + 4171² = 2165² + 5196² is the sum of 2 positive squares in 4 ways.
5629² is the sum of 3 positive squares.
5629 is a proper divisor of 199⁶ - 1.
5629 = '562' + '9' is the concatenation of 2 semiprime numbers.
5629 is an emirpimes in (at least) the following bases: 3, 4, 5, 7, 8, 16, 21, 22, 25, 27, 33, 40, 42, 43, 49, 50, 51, 52, 53, 55, 56, 57, 63, 64, 69, 70, 71, 76, 77, 79, 81, 82, 85, 86, 87, 88, 89, 94, 96, and 99.
5629 is palindromic in (at least) the following bases: 67, -37, and -84.
5629 in base 4 = 1113331 and consists of only the digits '1' and '3'.
5629 in base 12 = 3311 and consists of only the digits '1' and '3'.
5629 in base 26 = 88d and consists of only the digits '8' and 'd'.
5629 in base 33 = 55j and consists of only the digits '5' and 'j'.
5629 in base 37 = 445 and consists of only the digits '4' and '5'.

The number 5629 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001210: a(n) = solution to the postage stamp problem with 5 denominations and n stamps.
A046259: a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A066529: a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists.
A069833: Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.
A078370: a(n) = 4*(n+1)*n + 5.
A113340: Triangle P, read by rows, such that P^2 transforms column k of P into column k+1 of P, so that column k of P equals column 0 of P^(2*k+1), where P^2 denotes the matrix square of P.
A214393: Numbers of the form (4k+3)^2+4 or (4k+5)^2-8.
A260294: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001
A277701: Positions of ones in A264977; positions of twos in A277330.
A299266: Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes.