312832 has 40 divisors (see below), whose sum is σ = 687456. Its totient is φ = 141312.

The previous prime is 312799. The next prime is 312839. The reversal of 312832 is 238213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312839) by changing a digit.

312832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6633 + ... + 6679.

2³¹²⁸³² is an apocalyptic number.

312832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728).

312832 is an abundant number, since it is smaller than the sum of its proper divisors (374624).

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

312832 is an equidigital number, since it uses as much as digits as its factorization.

312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 312832 is about 559.3138653744. The cubic root of 312832 is about 67.8844635535.

It can be divided in two parts, 3128 and 32, that added together give a triangular number (3160 = T₇₉).

The spelling of 312832 in words is "three hundred twelve thousand, eight hundred thirty-two".