313364817 has 12 divisors (see below), whose sum is σ = 457725060. Its totient is φ = 206562048.

The previous prime is 313364809. The next prime is 313364827. The reversal of 313364817 is 718463313.

313364817 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 648 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 236206161 = 8784^2 + 15369^2 .

It is not a de Polignac number, because 313364817 - 2³ = 313364809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313364827) 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 11 ways as a sum of consecutive naturals, for example, 194808 + ... + 196409.

It is an arithmetic number, because the mean of its divisors is an integer number (38143755).

Almost surely, 2^313364817 is an apocalyptic number.

It is an amenable number.

313364817 is a deficient number, since it is larger than the sum of its proper divisors (144360243).

313364817 is a wasteful number, since it uses less digits than its factorization.

313364817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391312 (or 391309 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 313364817 is about 17702.1133484113. The cubic root of 313364817 is about 679.2298207740.

The spelling of 313364817 in words is "three hundred thirteen million, three hundred sixty-four thousand, eight hundred seventeen".