313317 has 12 divisors (see below), whose sum is σ = 467584. Its totient is φ = 201960.

The previous prime is 313307. The next prime is 313321. The reversal of 313317 is 713313.

It is not a de Polignac number, because 313317 - 2⁴ = 313301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313317.

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 313317.

It is not an unprimeable number, because it can be changed into a prime (313307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283 + ... + 840.

2³¹³³¹⁷ is an apocalyptic number.

It is an amenable number.

313317 is a deficient number, since it is larger than the sum of its proper divisors (154267).

313317 is a wasteful number, since it uses less digits than its factorization.

313317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1157 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 313317 is about 559.7472643971. The cubic root of 313317 is about 67.9195270645.

It can be divided in two parts, 313 and 317, that added together give a triangular number (630 = T₃₅).

The spelling of 313317 in words is "three hundred thirteen thousand, three hundred seventeen".