312257 has 4 divisors (see below), whose sum is σ = 340656. Its totient is φ = 283860.

The previous prime is 312253. The next prime is 312269. The reversal of 312257 is 752213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312257 - 2² = 312253 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312257.

It is not an unprimeable number, because it can be changed into a prime (312251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14183 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (85164).

2³¹²²⁵⁷ is an apocalyptic number.

It is an amenable number.

312257 is a deficient number, since it is larger than the sum of its proper divisors (28399).

312257 is a wasteful number, since it uses less digits than its factorization.

312257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28398.

The product of its digits is 420, while the sum is 20.

The square root of 312257 is about 558.7996062991. The cubic root of 312257 is about 67.8428464276.

The spelling of 312257 in words is "three hundred twelve thousand, two hundred fifty-seven".