313921872 has 160 divisors (see below), whose sum is σ = 1015173120. Its totient is φ = 92016000.

The previous prime is 313921849. The next prime is 313921873. The reversal of 313921872 is 278129313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313921873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146247 + ... + 148377.

It is an arithmetic number, because the mean of its divisors is an integer number (6344832).

Almost surely, 2^313921872 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 313921872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507586560).

313921872 is an abundant number, since it is smaller than the sum of its proper divisors (701251248).

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

313921872 is a wasteful number, since it uses less digits than its factorization.

313921872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 313921872 is about 17717.8405004673. The cubic root of 313921872 is about 679.6320616186.

The spelling of 313921872 in words is "three hundred thirteen million, nine hundred twenty-one thousand, eight hundred seventy-two".