312959 has 4 divisors (see below), whose sum is σ = 315480. Its totient is φ = 310440.

The previous prime is 312943. The next prime is 312967. The reversal of 312959 is 959213.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 959213 = 743 ⋅1291.

It is a cyclic number.

It is not a de Polignac number, because 312959 - 2⁴ = 312943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312929) 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, 1064 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (78870).

2³¹²⁹⁵⁹ is an apocalyptic number.

312959 is a deficient number, since it is larger than the sum of its proper divisors (2521).

312959 is a wasteful number, since it uses less digits than its factorization.

312959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520.

The product of its digits is 2430, while the sum is 29.

The square root of 312959 is about 559.4273858152. The cubic root of 312959 is about 67.8936486331.

The spelling of 312959 in words is "three hundred twelve thousand, nine hundred fifty-nine".