313713600 has 84 divisors (see below), whose sum is σ = 1029257784. Its totient is φ = 83655680.

The previous prime is 313713553. The next prime is 313713601. The reversal of 313713600 is 6317313.

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 (313713601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27879 + ... + 37478.

Almost surely, 2^313713600 is an apocalyptic number.

313713600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313713600 is an abundant number, since it is smaller than the sum of its proper divisors (715544184).

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

313713600 is a wasteful number, since it uses less digits than its factorization.

313713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65382 (or 65367 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 313713600 is about 17711.9620595800. The cubic root of 313713600 is about 679.4817273514.

The spelling of 313713600 in words is "three hundred thirteen million, seven hundred thirteen thousand, six hundred".