313174272 has 144 divisors (see below), whose sum is σ = 896253120. Its totient is φ = 97067008.

The previous prime is 313174271. The next prime is 313174273. The reversal of 313174272 is 272471313.

It is an interprime number because it is at equal distance from previous prime (313174271) and next prime (313174273).

It is not an unprimeable number, because it can be changed into a prime (313174271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3773143 + ... + 3773225.

It is an arithmetic number, because the mean of its divisors is an integer number (6223980).

Almost surely, 2^313174272 is an apocalyptic number.

313174272 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 313174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448126560).

313174272 is an abundant number, since it is smaller than the sum of its proper divisors (583078848).

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

313174272 is an frugal number, since it uses more digits than its factorization.

313174272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 313174272 is about 17696.7305454991. The cubic root of 313174272 is about 679.0921217508.

The spelling of 313174272 in words is "three hundred thirteen million, one hundred seventy-four thousand, two hundred seventy-two".