31317 has 16 divisors (see below), whose sum is σ = 49728. Its totient is φ = 17280.

The previous prime is 31307. The next prime is 31319. The reversal of 31317 is 71313.

It is not a de Polignac number, because 31317 - 2⁶ = 31253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31296 and 31305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31317.

It is not an unprimeable number, because it can be changed into a prime (31319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

2³¹³¹⁷ is an apocalyptic number.

It is an amenable number.

31317 is a deficient number, since it is larger than the sum of its proper divisors (18411).

31317 is a wasteful number, since it uses less digits than its factorization.

31317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its digits is 63, while the sum is 15.

The square root of 31317 is about 176.9660984483. The cubic root of 31317 is about 31.5205207684.

The spelling of 31317 in words is "thirty-one thousand, three hundred seventeen".