312357 has 4 divisors (see below), whose sum is σ = 416480. Its totient is φ = 208236.

The previous prime is 312353. The next prime is 312371. The reversal of 312357 is 753213.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 753213 = 3 ⋅251071.

It is not a de Polignac number, because 312357 - 2² = 312353 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312357.

It is not an unprimeable number, because it can be changed into a prime (312353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52057 + ... + 52062.

It is an arithmetic number, because the mean of its divisors is an integer number (104120).

2³¹²³⁵⁷ is an apocalyptic number.

It is an amenable number.

312357 is a deficient number, since it is larger than the sum of its proper divisors (104123).

312357 is a wasteful number, since it uses less digits than its factorization.

312357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104122.

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

The square root of 312357 is about 558.8890766512. The cubic root of 312357 is about 67.8500878564.

The spelling of 312357 in words is "three hundred twelve thousand, three hundred fifty-seven".