312997632 has 72 divisors (see below), whose sum is σ = 838857600. Its totient is φ = 103603200.

The previous prime is 312997631. The next prime is 312997637. The reversal of 312997632 is 236799213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312997631) 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, 114619 + ... + 117317.

It is an arithmetic number, because the mean of its divisors is an integer number (11650800).

Almost surely, 2^312997632 is an apocalyptic number.

312997632 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 312997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419428800).

312997632 is an abundant number, since it is smaller than the sum of its proper divisors (525859968).

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

312997632 is a wasteful number, since it uses less digits than its factorization.

312997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2855 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 312997632 is about 17691.7390891908. The cubic root of 312997632 is about 678.9644214011.

It can be divided in two parts, 31299763 and 2, that multiplied together give a palindrome (62599526).

The spelling of 312997632 in words is "three hundred twelve million, nine hundred ninety-seven thousand, six hundred thirty-two".