313268112 has 120 divisors (see below), whose sum is σ = 941540184. Its totient is φ = 96878592.

The previous prime is 313268099. The next prime is 313268161. The reversal of 313268112 is 211862313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 291589776 = 4656^2 + 17076^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177828 + ... + 179580.

Almost surely, 2^313268112 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 313268112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470770092).

313268112 is an abundant number, since it is smaller than the sum of its proper divisors (628272072).

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

313268112 is a wasteful number, since it uses less digits than its factorization.

313268112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 313268112 is about 17699.3816841154. The cubic root of 313268112 is about 679.1599430317.

The spelling of 313268112 in words is "three hundred thirteen million, two hundred sixty-eight thousand, one hundred twelve".