313008 has 20 divisors (see below), whose sum is σ = 808728. Its totient is φ = 104320.

The previous prime is 313003. The next prime is 313009. The reversal of 313008 is 800313.

It is not an unprimeable number, because it can be changed into a prime (313003) 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, 3213 + ... + 3308.

2³¹³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

313008 is an abundant number, since it is smaller than the sum of its proper divisors (495720).

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

313008 is a wasteful number, since it uses less digits than its factorization.

313008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313008 is about 559.4711788823. The cubic root of 313008 is about 67.8971918183.

The spelling of 313008 in words is "three hundred thirteen thousand, eight".