82564092 has 36 divisors (see below), whose sum is σ = 224759080. Its totient is φ = 25404192.

The previous prime is 82564081. The next prime is 82564093. The reversal of 82564092 is 29046528.

It is a happy number.

82564092 is a `hidden beast` number, since 8 + 2 + 5 + 640 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (82564093) 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, 87742 + ... + 88677.

Almost surely, 2^82564092 is an apocalyptic number.

It is an amenable number.

82564092 is an abundant number, since it is smaller than the sum of its proper divisors (142194988).

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

82564092 is a wasteful number, since it uses less digits than its factorization.

82564092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176442 (or 176437 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82564092 is about 9086.4785258097. The cubic root of 82564092 is about 435.4420872206.

The spelling of 82564092 in words is "eighty-two million, five hundred sixty-four thousand, ninety-two".