313192864 has 48 divisors (see below), whose sum is σ = 641094048. Its totient is φ = 150481152.

The previous prime is 313192829. The next prime is 313192871. The reversal of 313192864 is 468291313.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 96679 + ... + 99865.

It is an arithmetic number, because the mean of its divisors is an integer number (13356126).

Almost surely, 2^313192864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313192864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320547024).

313192864 is an abundant number, since it is smaller than the sum of its proper divisors (327901184).

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

313192864 is a wasteful number, since it uses less digits than its factorization.

313192864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3309 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 313192864 is about 17697.2558324730. The cubic root of 313192864 is about 679.1055598821.

The spelling of 313192864 in words is "three hundred thirteen million, one hundred ninety-two thousand, eight hundred sixty-four".