313931 has 2 divisors, whose sum is σ = 313932. Its totient is φ = 313930.

The previous prime is 313921. The next prime is 313933. The reversal of 313931 is 139313.

It is a strong prime.

It is an emirp because it is prime and its reverse (139313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313931 - 2¹⁸ = 51787 is a prime.

It is a super-2 number, since 2×313931² = 197105345522, which contains 22 as substring.

Together with 313933, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313931.

It is not a weakly prime, because it can be changed into another prime (313933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156965 + 156966.

It is an arithmetic number, because the mean of its divisors is an integer number (156966).

2³¹³⁹³¹ is an apocalyptic number.

313931 is a deficient number, since it is larger than the sum of its proper divisors (1).

313931 is an equidigital number, since it uses as much as digits as its factorization.

313931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 20.

The square root of 313931 is about 560.2954577721. The cubic root of 313931 is about 67.9638648843.

The spelling of 313931 in words is "three hundred thirteen thousand, nine hundred thirty-one".