313735104 has 84 divisors (see below), whose sum is σ = 902396976. Its totient is φ = 104214528.

The previous prime is 313735091. The next prime is 313735109. The reversal of 313735104 is 401537313.

313735104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313735109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202557 + ... + 204099.

Almost surely, 2^313735104 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 313735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451198488).

313735104 is an abundant number, since it is smaller than the sum of its proper divisors (588661872).

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

313735104 is a wasteful number, since it uses less digits than its factorization.

313735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 313735104 is about 17712.5690965484. The cubic root of 313735104 is about 679.4972523836.

The spelling of 313735104 in words is "three hundred thirteen million, seven hundred thirty-five thousand, one hundred four".