313014912 has 256 divisors, whose sum is σ = 1019934720. Its totient is φ = 83128320.

The previous prime is 313014907. The next prime is 313014917. The reversal of 313014912 is 219410313.

It is an interprime number because it is at equal distance from previous prime (313014907) and next prime (313014917).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313014917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3771223 + ... + 3771305.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^313014912 is an apocalyptic number.

313014912 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 313014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

313014912 is an abundant number, since it is smaller than the sum of its proper divisors (706919808).

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

313014912 is a wasteful number, since it uses less digits than its factorization.

313014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 313014912 is about 17692.2274459719. The cubic root of 313014912 is about 678.9769159464.

The spelling of 313014912 in words is "three hundred thirteen million, fourteen thousand, nine hundred twelve".