313765120 has 36 divisors (see below), whose sum is σ = 751568580. Its totient is φ = 125505536.

The previous prime is 313765063. The next prime is 313765121. The reversal of 313765120 is 21567313.

It can be written as a sum of positive squares in 2 ways, for example, as 109160704 + 204604416 = 10448^2 + 14304^2 .

It is a super-2 number, since 2×313765120² = 196897101057228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313765121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121285 + ... + 123844.

It is an arithmetic number, because the mean of its divisors is an integer number (20876905).

Almost surely, 2^313765120 is an apocalyptic number.

It is an amenable number.

313765120 is an abundant number, since it is smaller than the sum of its proper divisors (437803460).

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

313765120 is an equidigital number, since it uses as much as digits as its factorization.

313765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245150 (or 245136 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 313765120 is about 17713.4163841987. The cubic root of 313765120 is about 679.5189215549.

The spelling of 313765120 in words is "three hundred thirteen million, seven hundred sixty-five thousand, one hundred twenty".