312971932 has 48 divisors (see below), whose sum is σ = 680847552. Its totient is φ = 122572800.

The previous prime is 312971929. The next prime is 312971947. The reversal of 312971932 is 239179213.

It is a happy number.

312971932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312971891 and 312971900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32508 + ... + 41020.

It is an arithmetic number, because the mean of its divisors is an integer number (14184324).

Almost surely, 2^312971932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312971932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340423776).

312971932 is an abundant number, since it is smaller than the sum of its proper divisors (367875620).

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

312971932 is a wasteful number, since it uses less digits than its factorization.

312971932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 8636 counting only the distinct ones).

The product of its digits is 20412, while the sum is 37.

The square root of 312971932 is about 17691.0127465897. The cubic root of 312971932 is about 678.9458378066.

The spelling of 312971932 in words is "three hundred twelve million, nine hundred seventy-one thousand, nine hundred thirty-two".