Number of the day: 38795

Properties of the number 38795:

38795 is a cyclic number.
38795 = 5 × 7759 is semiprime and squarefree.
38795 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 31032 totatives.
Reversing the decimal digits of 38795 results in an emirpimes.
38795 = 19398² - 19397² = 3882² - 3877² is the difference of 2 nonnegative squares in 2 ways.
38795 is the difference of 2 positive pentagonal numbers in 2 ways.
38795 = 5² + 39² + 193² is the sum of 3 positive squares.
38795² = 23277² + 31036² is the sum of 2 positive squares in 1 way.
38795² is the sum of 3 positive squares.
38795 is a proper divisor of 1759⁶ - 1.
38795 is an emirpimes in (at least) the following bases: 7, 10, 13, 17, 19, 23, 30, 32, 33, 34, 37, 43, 47, 49, 51, 53, 61, 64, 65, 74, 90, and 97.
38795 is palindromic in (at least) the following bases: 9, 79, and -90.

The number 38795 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A264454: Number of permutations of [n] with exactly five (possibly overlapping) occurrences of the generalized pattern 12-3.
A283886: Relative of Hofstadter Q-sequence: a(n) = max(0, n+19395) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.
A291688: Number of permutations p of [2n] such that 0p has a nonincreasing jump sequence beginning with n.
A292172: Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with six.
A292173: Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with seven.