92082000 has 160 divisors (see below), whose sum is σ = 301766400. Its totient is φ = 24153600.

The previous prime is 92081993. The next prime is 92082017. The reversal of 92082000 is 28029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617926 + ... + 618074.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^92082000 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 92082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

92082000 is an abundant number, since it is smaller than the sum of its proper divisors (209684400).

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

92082000 is a wasteful number, since it uses less digits than its factorization.

92082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 92082000 is about 9595.9366400576. The cubic root of 92082000 is about 451.5698259329.

The spelling of 92082000 in words is "ninety-two million, eighty-two thousand".