313808967 has 24 divisors (see below), whose sum is σ = 484627104. Its totient is φ = 194978304.

The previous prime is 313808947. The next prime is 313808993. The reversal of 313808967 is 769808313.

It is a happy number.

It is not a de Polignac number, because 313808967 - 2²⁰ = 312760391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313808947) 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 23 ways as a sum of consecutive naturals, for example, 5803 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (20192796).

Almost surely, 2^313808967 is an apocalyptic number.

313808967 is a deficient number, since it is larger than the sum of its proper divisors (170818137).

313808967 is a wasteful number, since it uses less digits than its factorization.

313808967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20039 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 313808967 is about 17714.6540186367. The cubic root of 313808967 is about 679.5505731274.

The spelling of 313808967 in words is "three hundred thirteen million, eight hundred eight thousand, nine hundred sixty-seven".