313817920 has 56 divisors (see below), whose sum is σ = 804772584. Its totient is φ = 115869696.

The previous prime is 313817893. The next prime is 313817921. The reversal of 313817920 is 29718313.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 254466304 = 7704^2 + 15952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313817921) 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 7 ways as a sum of consecutive naturals, for example, 33559 + ... + 41878.

It is an arithmetic number, because the mean of its divisors is an integer number (14370939).

Almost surely, 2^313817920 is an apocalyptic number.

It is an amenable number.

313817920 is an abundant number, since it is smaller than the sum of its proper divisors (490954664).

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

313817920 is a wasteful number, since it uses less digits than its factorization.

313817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75467 (or 75457 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 313817920 is about 17714.9067172255. The cubic root of 313817920 is about 679.5570356137.

The spelling of 313817920 in words is "three hundred thirteen million, eight hundred seventeen thousand, nine hundred twenty".