827152164 has 18 divisors (see below), whose sum is σ = 2090856950. Its totient is φ = 275717376.

The previous prime is 827152147. The next prime is 827152189. The reversal of 827152164 is 461251728.

827152164 is a `hidden beast` number, since 8 + 2 + 71 + 521 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 827022564 + 129600 = 28758^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22976449 = 827152164 / (8 + 2 + 7 + 1 + 5 + 2 + 1 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11488189 + ... + 11488260.

Almost surely, 2^827152164 is an apocalyptic number.

It is an amenable number.

827152164 is an abundant number, since it is smaller than the sum of its proper divisors (1263704786).

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

827152164 is a wasteful number, since it uses less digits than its factorization.

827152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22976459 (or 22976454 counting only the distinct ones).

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

The square root of 827152164 is about 28760.2531977728. The cubic root of 827152164 is about 938.7035711962.

The spelling of 827152164 in words is "eight hundred twenty-seven million, one hundred fifty-two thousand, one hundred sixty-four".