16317 has 18 divisors (see below), whose sum is σ = 28158. Its totient is φ = 9072.

The previous prime is 16301. The next prime is 16319. The reversal of 16317 is 71361.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 441 = 126^2 + 21^2 .

It is not a de Polignac number, because 16317 - 2⁴ = 16301 is a prime.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 16317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423 + ... + 459.

2¹⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

16317 is a deficient number, since it is larger than the sum of its proper divisors (11841).

16317 is a wasteful number, since it uses less digits than its factorization.

16317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 16317 is about 127.7380131363. The cubic root of 16317 is about 25.3637484798.

Adding to 16317 its reverse (71361), we get a palindrome (87678).

It can be divided in two parts, 16 and 317, that added together give a palindrome (333).

The spelling of 16317 in words is "sixteen thousand, three hundred seventeen".