Number of the day: 3829

Properties of the number 3829:

3829 = 7 × 547 is semiprime and squarefree.
3829 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 3276 totatives.
3829 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 3829 results in a prime.
3829 = 1915² - 1914² = 277² - 270² is the difference of 2 nonnegative squares in 2 ways.
3829 is the sum of 2 positive triangular numbers.
3829 is the difference of 2 positive pentagonal numbers in 2 ways.
3829 = 2² + 15² + 60² is the sum of 3 positive squares.
3829² is the sum of 3 positive squares.
3829 is a divisor of 1093² - 1.
3829 = '3' + '829' is the concatenation of 2 prime numbers.
3829 = '382' + '9' is the concatenation of 2 semiprime numbers.
3829 is an emirpimes in (at least) the following bases: 2, 5, 9, 11, 12, 14, 15, 23, 25, 31, 34, 39, 41, 48, 51, 54, 57, 60, 61, 63, 65, 71, 72, 73, 74, 80, 81, 83, 89, 91, 93, 97, and 99.
3829 is palindromic in (at least) the following bases: 19, 20, 43, 44, 58, -66, and -87.
3829 in base 17 = d44 and consists of only the digits '4' and 'd'.
3829 in base 19 = aba and consists of only the digits 'a' and 'b'.
3829 in base 20 = 9b9 and consists of only the digits '9' and 'b'.
3829 in base 42 = 277 and consists of only the digits '2' and '7'.
3829 in base 43 = 232 and consists of only the digits '2' and '3'.
3829 in base 44 = 1h1 and consists of only the digits '1' and 'h'.
3829 in base 57 = 1AA and consists of only the digits '1' and 'A'.
3829 in base 58 = 181 and consists of only the digits '1' and '8'.
3829 in base 61 = 11l and consists of only the digits '1' and 'l'.

The number 3829 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A008987: Number of immersions of unoriented circle into oriented sphere with n double points.
A036437: Triangle of coefficients of generating function of ternary rooted trees of height exactly n.
A038764: a(n)=C(n,0)+6C(n,1)+9C(n,2).
A046254: a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A048268: Smallest palindrome greater than n in bases n and n+1.
A071148: Partial sums of sequence of odd primes (A065091); a(n) = sum of the first n odd primes.
A130883: a(n) = 2*n^2 - n + 1.
A263478: Total number of n-digit positive integers with multiplicative digital root value 4.
A266781: Molien series for invariants of finite Coxeter group A_12.
A275189: Positions of 4 in A274640.