827538021 has 12 divisors (see below), whose sum is σ = 1195809472. Its totient is φ = 551471976.

The previous prime is 827538007. The next prime is 827538031. The reversal of 827538021 is 120835728.

827538021 is a `hidden beast` number, since 8 + 275 + 380 + 2 + 1 = 666.

827538021 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 827538021 - 2¹⁴ = 827521637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827538031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7380 + ... + 41346.

Almost surely, 2^827538021 is an apocalyptic number.

It is an amenable number.

827538021 is a deficient number, since it is larger than the sum of its proper divisors (368271451).

827538021 is a wasteful number, since it uses less digits than its factorization.

827538021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36680 (or 36677 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 827538021 is about 28766.9605798040. The cubic root of 827538021 is about 938.8495133226.

The spelling of 827538021 in words is "eight hundred twenty-seven million, five hundred thirty-eight thousand, twenty-one".