82192 has 20 divisors (see below), whose sum is σ = 174096. Its totient is φ = 37280.

The previous prime is 82189. The next prime is 82193. The reversal of 82192 is 29128.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (82193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 409.

2⁸²¹⁹² is an apocalyptic number.

It is an amenable number.

82192 is an abundant number, since it is smaller than the sum of its proper divisors (91904).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

82192 is a wasteful number, since it uses less digits than its factorization.

82192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 82192 is about 286.6914717950. The cubic root of 82192 is about 43.4786965753.

The spelling of 82192 in words is "eighty-two thousand, one hundred ninety-two".