15717 has 12 divisors (see below), whose sum is σ = 23424. Its totient is φ = 9360.

The previous prime is 15683. The next prime is 15727. The reversal of 15717 is 71751.

15717 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 15717 - 2⁸ = 15461 is a prime.

15717 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 15693 and 15702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (1952).

2¹⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

15717 is a deficient number, since it is larger than the sum of its proper divisors (7707).

15717 is a wasteful number, since it uses less digits than its factorization.

15717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its digits is 245, while the sum is 21.

The square root of 15717 is about 125.3674598929. The cubic root of 15717 is about 25.0489706789.

The spelling of 15717 in words is "fifteen thousand, seven hundred seventeen".