313573264 has 45 divisors (see below), whose sum is σ = 643971153. Its totient is φ = 147897216.

The previous prime is 313573231. The next prime is 313573319. The reversal of 313573264 is 462375313.

The square root of 313573264 is 17708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 249892864 = 7980^2 + 15808^2 .

It is a super-2 number, since 2×313573264² = 196656383791227392, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1345692 + ... + 1345924.

Almost surely, 2^313573264 is an apocalyptic number.

313573264 is the 17708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313573264

313573264 is an abundant number, since it is smaller than the sum of its proper divisors (330397889).

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

313573264 is an equidigital number, since it uses as much as digits as its factorization.

313573264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 254 counting only the distinct ones).

The product of its digits is 45360, while the sum is 34.

The cubic root of 313573264 is about 679.3803929177.

The spelling of 313573264 in words is "three hundred thirteen million, five hundred seventy-three thousand, two hundred sixty-four".