312947712 has 440 divisors, whose sum is σ = 1188897600. Its totient is φ = 81285120.

The previous prime is 312947707. The next prime is 312947717. The reversal of 312947712 is 217749213.

It is an interprime number because it is at equal distance from previous prime (312947707) and next prime (312947717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312947717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28449787 + ... + 28449797.

It is an arithmetic number, because the mean of its divisors is an integer number (2702040).

Almost surely, 2^312947712 is an apocalyptic number.

312947712 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 312947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594448800).

312947712 is an abundant number, since it is smaller than the sum of its proper divisors (875949888).

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

312947712 is an equidigital number, since it uses as much as digits as its factorization.

312947712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 312947712 is about 17690.3282049825. The cubic root of 312947712 is about 678.9283234645.

The spelling of 312947712 in words is "three hundred twelve million, nine hundred forty-seven thousand, seven hundred twelve".