313137 has 12 divisors (see below), whose sum is σ = 493584. Its totient is φ = 189720.

The previous prime is 313133. The next prime is 313147. The reversal of 313137 is 731313.

It is not a de Polignac number, because 313137 - 2² = 313133 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313137.

It is not an unprimeable number, because it can be changed into a prime (313133) 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, 1483 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (41132).

2³¹³¹³⁷ is an apocalyptic number.

It is an amenable number.

313137 is a deficient number, since it is larger than the sum of its proper divisors (180447).

313137 is a wasteful number, since it uses less digits than its factorization.

313137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3177 counting only the distinct ones).

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

The square root of 313137 is about 559.5864544465. The cubic root of 313137 is about 67.9065180281.

The spelling of 313137 in words is "three hundred thirteen thousand, one hundred thirty-seven".