312913 has 4 divisors (see below), whose sum is σ = 314608. Its totient is φ = 311220.

The previous prime is 312899. The next prime is 312929. The reversal of 312913 is 319213.

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: 319213 = 61 ⋅5233.

It is a cyclic number.

It is not a de Polignac number, because 312913 - 2⁹ = 312401 is a prime.

It is a Duffinian number.

312913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (312943) 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, 531 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (78652).

2³¹²⁹¹³ is an apocalyptic number.

It is an amenable number.

312913 is a deficient number, since it is larger than the sum of its proper divisors (1695).

312913 is a wasteful number, since it uses less digits than its factorization.

312913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694.

The product of its digits is 162, while the sum is 19.

The square root of 312913 is about 559.3862708362. The cubic root of 312913 is about 67.8903220409.

It can be divided in two parts, 312 and 913, that added together give a triangular number (1225 = T₄₉).

The spelling of 312913 in words is "three hundred twelve thousand, nine hundred thirteen".