82164852 has 72 divisors (see below), whose sum is σ = 258952512. Its totient is φ = 21340800.

The previous prime is 82164839. The next prime is 82164857. The reversal of 82164852 is 25846128.

82164852 is a `hidden beast` number, since 8 + 2 + 1 + 648 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82164857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12049 + ... + 17592.

Almost surely, 2^82164852 is an apocalyptic number.

It is an amenable number.

82164852 is an abundant number, since it is smaller than the sum of its proper divisors (176787660).

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

82164852 is a wasteful number, since it uses less digits than its factorization.

82164852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669 (or 29664 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82164852 is about 9064.4829968399. The cubic root of 82164852 is about 434.7390904681.

The spelling of 82164852 in words is "eighty-two million, one hundred sixty-four thousand, eight hundred fifty-two".