313735312 has 40 divisors (see below), whose sum is σ = 672233760. Its totient is φ = 140647680.

The previous prime is 313735291. The next prime is 313735313. The reversal of 313735312 is 213537313.

It is not an unprimeable number, because it can be changed into a prime (313735313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 25057.

It is an arithmetic number, because the mean of its divisors is an integer number (16805844).

Almost surely, 2^313735312 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 313735312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336116880).

313735312 is an abundant number, since it is smaller than the sum of its proper divisors (358498448).

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

313735312 is a wasteful number, since it uses less digits than its factorization.

313735312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24511 (or 24505 counting only the distinct ones).

The product of its digits is 5670, while the sum is 28.

The square root of 313735312 is about 17712.5749680841. The cubic root of 313735312 is about 679.4974025479.

The spelling of 313735312 in words is "three hundred thirteen million, seven hundred thirty-five thousand, three hundred twelve".