82164992 has 72 divisors (see below), whose sum is σ = 201914496. Its totient is φ = 32495616.

The previous prime is 82164991. The next prime is 82165003. The reversal of 82164992 is 29946128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82164991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21533 + ... + 25059.

It is an arithmetic number, because the mean of its divisors is an integer number (2804368).

Almost surely, 2^82164992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100957248).

82164992 is an abundant number, since it is smaller than the sum of its proper divisors (119749504).

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

82164992 is a wasteful number, since it uses less digits than its factorization.

82164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3549 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 82164992 is about 9064.4907192848. The cubic root of 82164992 is about 434.7393373840.

The spelling of 82164992 in words is "eighty-two million, one hundred sixty-four thousand, nine hundred ninety-two".