312057 has 6 divisors (see below), whose sum is σ = 450762. Its totient is φ = 208032.

The previous prime is 312047. The next prime is 312071. The reversal of 312057 is 750213.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 114921 = 444^2 + 339^2 .

It is not a de Polignac number, because 312057 - 2¹⁰ = 311033 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312057.

It is not an unprimeable number, because it can be changed into a prime (312007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17328 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (75127).

2³¹²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

312057 is a deficient number, since it is larger than the sum of its proper divisors (138705).

312057 is a wasteful number, since it uses less digits than its factorization.

312057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34679 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 312057 is about 558.6206226054. The cubic root of 312057 is about 67.8283589304.

The spelling of 312057 in words is "three hundred twelve thousand, fifty-seven".