314778564 has 27 divisors (see below), whose sum is σ = 795959437. Its totient is φ = 104890704.

The previous prime is 314778551. The next prime is 314778577. The reversal of 314778564 is 465877413.

The square root of 314778564 is 17742.

It is a perfect power (a square), and thus also a powerful number.

314778564 is a `hidden beast` number, since 3 + 14 + 7 + 78 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (314778551) and next prime (314778577).

It can be written as a sum of positive squares in only one way, i.e., 58522500 + 256256064 = 7650^2 + 16008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104974 + ... + 107930.

Almost surely, 2^314778564 is an apocalyptic number.

314778564 is the 17742-nd square number.

It is an amenable number.

314778564 is an abundant number, since it is smaller than the sum of its proper divisors (481180873).

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

314778564 is an equidigital number, since it uses as much as digits as its factorization.

314778564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 2962 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The cubic root of 314778564 is about 680.2497381426.

The spelling of 314778564 in words is "three hundred fourteen million, seven hundred seventy-eight thousand, five hundred sixty-four".