312844 has 12 divisors (see below), whose sum is σ = 625744. Its totient is φ = 134064.

The previous prime is 312841. The next prime is 312857. The reversal of 312844 is 448213.

312844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

312844 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3¹¹ + 1 + 8³ + 2¹⁷ + 4² + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (312841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5559 + ... + 5614.

2³¹²⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

312844 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312844 is a wasteful number, since it uses less digits than its factorization.

312844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11182 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 312844 is about 559.3245927009. The cubic root of 312844 is about 67.8853315413.

It can be divided in two parts, 312 and 844, that added together give a square (1156 = 34²).

The spelling of 312844 in words is "three hundred twelve thousand, eight hundred forty-four".