312965 has 8 divisors (see below), whose sum is σ = 382968. Its totient is φ = 245440.

The previous prime is 312943. The next prime is 312967. The reversal of 312965 is 569213.

It can be written as a sum of positive squares in 4 ways, for example, as 124609 + 188356 = 353^2 + 434^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312965 - 2⁸ = 312709 is a prime.

It is an Ulam 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 (312967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (47871).

2³¹²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

312965 is a deficient number, since it is larger than the sum of its proper divisors (70003).

312965 is a wasteful number, since it uses less digits than its factorization.

312965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its digits is 1620, while the sum is 26.

The square root of 312965 is about 559.4327484158. The cubic root of 312965 is about 67.8940825124.

The spelling of 312965 in words is "three hundred twelve thousand, nine hundred sixty-five".