313815712 has 48 divisors (see below), whose sum is σ = 710398080. Its totient is φ = 133671168.

The previous prime is 313815701. The next prime is 313815721. The reversal of 313815712 is 217518313.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33214 + ... + 41602.

It is an arithmetic number, because the mean of its divisors is an integer number (14799960).

Almost surely, 2^313815712 is an apocalyptic number.

313815712 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 313815712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355199040).

313815712 is an abundant number, since it is smaller than the sum of its proper divisors (396582368).

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

313815712 is a wasteful number, since it uses less digits than its factorization.

313815712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8565 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 313815712 is about 17714.8443967199. The cubic root of 313815712 is about 679.5554418387. Note that the first 3 decimals are identical.

The spelling of 313815712 in words is "three hundred thirteen million, eight hundred fifteen thousand, seven hundred twelve".