312885 has 24 divisors (see below), whose sum is σ = 575640. Its totient is φ = 156672.

The previous prime is 312863. The next prime is 312887. The reversal of 312885 is 588213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 178929 = 366^2 + 423^2 .

It is not a de Polignac number, because 312885 - 2⁷ = 312757 is a prime.

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 312885.

It is not an unprimeable number, because it can be changed into a prime (312887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (23985).

2³¹²⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

312885 is a deficient number, since it is larger than the sum of its proper divisors (262755).

312885 is a wasteful number, since it uses less digits than its factorization.

312885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 312885 is about 559.3612428476. The cubic root of 312885 is about 67.8882969991. Note that the first 3 decimals are identical.

It can be divided in two parts, 31 and 2885, that added together give a square (2916 = 54²).

The spelling of 312885 in words is "three hundred twelve thousand, eight hundred eighty-five".