312975 has 36 divisors (see below), whose sum is σ = 609336. Its totient is φ = 152640.

The previous prime is 312971. The next prime is 312979. The reversal of 312975 is 579213.

It is an interprime number because it is at equal distance from previous prime (312971) and next prime (312979).

It is not a de Polignac number, because 312975 - 2² = 312971 is a prime.

312975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2872 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

312975 is a Friedman number, since it can be written as 975*321, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 321 ⋅ 975 (with its own digits).

2³¹²⁹⁷⁵ is an apocalyptic number.

312975 is a deficient number, since it is larger than the sum of its proper divisors (296361).

312975 is a wasteful number, since it uses less digits than its factorization.

312975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 312975 is about 559.4416859691. The cubic root of 312975 is about 67.8948056322.

The spelling of 312975 in words is "three hundred twelve thousand, nine hundred seventy-five".