827022564 has 27 divisors (see below), whose sum is σ = 2090965513. Its totient is φ = 275616672.

The previous prime is 827022499. The next prime is 827022571. The reversal of 827022564 is 465220728.

The square root of 827022564 is 28758.

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

827022564 is a `hidden beast` number, since 8 + 2 + 70 + 22 + 564 = 666.

827022564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 714492900 + 112529664 = 26730^2 + 10608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 170152 + ... + 174944.

Almost surely, 2^827022564 is an apocalyptic number.

827022564 is the 28758-th square number.

It is an amenable number.

827022564 is an abundant number, since it is smaller than the sum of its proper divisors (1263942949).

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

827022564 is an equidigital number, since it uses as much as digits as its factorization.

827022564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 827022564 is about 938.6545425965.

Multiplying 827022564 by its sum of digits (36), we get a square (29772812304 = 172548²).

827022564 divided by its sum of digits (36) gives a square (22972849 = 4793²).

The spelling of 827022564 in words is "eight hundred twenty-seven million, twenty-two thousand, five hundred sixty-four".