313562272 has 48 divisors (see below), whose sum is σ = 654538752. Its totient is φ = 147605760.

The previous prime is 313562251. The next prime is 313562273. The reversal of 313562272 is 272265313.

It is a super-3 number, since 3×313562272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (313562273) 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, 32433 + ... + 40975.

It is an arithmetic number, because the mean of its divisors is an integer number (13636224).

Almost surely, 2^313562272 is an apocalyptic number.

313562272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313562272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327269376).

313562272 is an abundant number, since it is smaller than the sum of its proper divisors (340976480).

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

313562272 is a wasteful number, since it uses less digits than its factorization.

313562272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8613 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 313562272 is about 17707.6896290849. The cubic root of 313562272 is about 679.3724544895.

The spelling of 313562272 in words is "three hundred thirteen million, five hundred sixty-two thousand, two hundred seventy-two".