314072564 has 24 divisors (see below), whose sum is σ = 594132840. Its totient is φ = 144411264.

The previous prime is 314072557. The next prime is 314072599. The reversal of 314072564 is 465270413.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 287980900 = 5108^2 + 16970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314072564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2762 + ... + 25214.

It is an arithmetic number, because the mean of its divisors is an integer number (24755535).

Almost surely, 2^314072564 is an apocalyptic number.

It is an amenable number.

314072564 is a deficient number, since it is larger than the sum of its proper divisors (280060276).

314072564 is a wasteful number, since it uses less digits than its factorization.

314072564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22739 (or 22737 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 314072564 is about 17722.0925401037. The cubic root of 314072564 is about 679.7407922091.

The spelling of 314072564 in words is "three hundred fourteen million, seventy-two thousand, five hundred sixty-four".