313574112 has 192 divisors, whose sum is σ = 996287040. Its totient is φ = 95551488.

The previous prime is 313574101. The next prime is 313574123. The reversal of 313574112 is 211475313.

It is an interprime number because it is at equal distance from previous prime (313574101) and next prime (313574123).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 543168 + ... + 543744.

It is an arithmetic number, because the mean of its divisors is an integer number (5188995).

Almost surely, 2^313574112 is an apocalyptic number.

313574112 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 313574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498143520).

313574112 is an abundant number, since it is smaller than the sum of its proper divisors (682712928).

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

313574112 is a wasteful number, since it uses less digits than its factorization.

313574112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 636 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 313574112 is about 17708.0239439639. The cubic root of 313574112 is about 679.3810053361.

The spelling of 313574112 in words is "three hundred thirteen million, five hundred seventy-four thousand, one hundred twelve".