313713306 has 24 divisors (see below), whose sum is σ = 698084244. Its totient is φ = 101744640.

The previous prime is 313713299. The next prime is 313713349. The reversal of 313713306 is 603317313.

It can be written as a sum of positive squares in 2 ways, for example, as 248346081 + 65367225 = 15759^2 + 8085^2 .

It is a super-2 number, since 2×313713306² = 196832076722899272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313713306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234855 + ... + 236186.

Almost surely, 2^313713306 is an apocalyptic number.

313713306 is an abundant number, since it is smaller than the sum of its proper divisors (384370938).

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

313713306 is a wasteful number, since it uses less digits than its factorization.

313713306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471086 (or 471083 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 313713306 is about 17711.9537601022. The cubic root of 313713306 is about 679.4815150902.

The spelling of 313713306 in words is "three hundred thirteen million, seven hundred thirteen thousand, three hundred six".