82171152 has 160 divisors (see below), whose sum is σ = 279148800. Its totient is φ = 22643712.

The previous prime is 82171127. The next prime is 82171163. The reversal of 82171152 is 25117128.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 87228 + ... + 88164.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^82171152 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 82171152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574400).

82171152 is an abundant number, since it is smaller than the sum of its proper divisors (196977648).

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

82171152 is a wasteful number, since it uses less digits than its factorization.

82171152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 82171152 is about 9064.8305003458. The cubic root of 82171152 is about 434.7502014083.

The spelling of 82171152 in words is "eighty-two million, one hundred seventy-one thousand, one hundred fifty-two".