827904825 has 36 divisors (see below), whose sum is σ = 1617680688. Its totient is φ = 401407200.

The previous prime is 827904799. The next prime is 827904827. The reversal of 827904825 is 528409728.

827904825 is a `hidden beast` number, since 82 + 7 + 90 + 482 + 5 = 666.

827904825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827904825 - 2⁵ = 827904793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (827904827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164779 + ... + 169728.

Almost surely, 2^827904825 is an apocalyptic number.

It is an amenable number.

827904825 is a deficient number, since it is larger than the sum of its proper divisors (789775863).

827904825 is a wasteful number, since it uses less digits than its factorization.

827904825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334534 (or 334526 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 827904825 is about 28773.3353124034. The cubic root of 827904825 is about 938.9882070059.

The spelling of 827904825 in words is "eight hundred twenty-seven million, nine hundred four thousand, eight hundred twenty-five".