82152 has 48 divisors (see below), whose sum is σ = 255840. Its totient is φ = 23328.

The previous prime is 82141. The next prime is 82153. The reversal of 82152 is 25128.

It is a super-2 number, since 2×82152² = 13497902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82153) by changing a digit.

82152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (5330).

2⁸²¹⁵² 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 82152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127920).

82152 is an abundant number, since it is smaller than the sum of its proper divisors (173688).

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

82152 is a wasteful number, since it uses less digits than its factorization.

82152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 82152 is about 286.6217018999. The cubic root of 82152 is about 43.4716422389.

The spelling of 82152 in words is "eighty-two thousand, one hundred fifty-two".