313967200 has 72 divisors (see below), whose sum is σ = 787262112. Its totient is φ = 122181120.

The previous prime is 313967161. The next prime is 313967207. The reversal of 313967200 is 2769313.

313967200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313967207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24297 + ... + 34903.

It is an arithmetic number, because the mean of its divisors is an integer number (10934196).

Almost surely, 2^313967200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).

313967200 is an abundant number, since it is smaller than the sum of its proper divisors (473294912).

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

313967200 is a wasteful number, since it uses less digits than its factorization.

313967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 313967200 is about 17719.1196169561. The cubic root of 313967200 is about 679.6647713279.

The spelling of 313967200 in words is "three hundred thirteen million, nine hundred sixty-seven thousand, two hundred".