82097180 has 48 divisors (see below), whose sum is σ = 189955584. Its totient is φ = 29555520.

The previous prime is 82097167. The next prime is 82097219. The reversal of 82097180 is 8179028.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82097180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20849 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (3957408).

Almost surely, 2^82097180 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 82097180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94977792).

82097180 is an abundant number, since it is smaller than the sum of its proper divisors (107858404).

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

82097180 is a wasteful number, since it uses less digits than its factorization.

82097180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 82097180 is about 9060.7494171288. The cubic root of 82097180 is about 434.6197055019.

The spelling of 82097180 in words is "eighty-two million, ninety-seven thousand, one hundred eighty".