313257 has 12 divisors (see below), whose sum is σ = 486096. Its totient is φ = 178920.

The previous prime is 313249. The next prime is 313267. The reversal of 313257 is 752313.

It is a happy number.

It is not a de Polignac number, because 313257 - 2³ = 313249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313257.

It is not an unprimeable number, because it can be changed into a prime (313207) 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, 919 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (40508).

2³¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

313257 is a deficient number, since it is larger than the sum of its proper divisors (172839).

313257 is a wasteful number, since it uses less digits than its factorization.

313257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2141 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 313257 is about 559.6936662139. The cubic root of 313257 is about 67.9151912728.

Subtracting from 313257 its sum of digits (21), we obtain a triangular number (313236 = T₇₉₁).

The spelling of 313257 in words is "three hundred thirteen thousand, two hundred fifty-seven".