312933 has 4 divisors (see below), whose sum is σ = 417248. Its totient is φ = 208620.

The previous prime is 312931. The next prime is 312937. The reversal of 312933 is 339213.

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 not a de Polignac number, because 312933 - 2¹ = 312931 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312931) 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, 52153 + ... + 52158.

It is an arithmetic number, because the mean of its divisors is an integer number (104312).

2³¹²⁹³³ is an apocalyptic number.

It is an amenable number.

312933 is a deficient number, since it is larger than the sum of its proper divisors (104315).

312933 is a wasteful number, since it uses less digits than its factorization.

312933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104314.

The product of its digits is 486, while the sum is 21.

The square root of 312933 is about 559.4041472853. The cubic root of 312933 is about 67.8917684254.

The spelling of 312933 in words is "three hundred twelve thousand, nine hundred thirty-three".