89082 has 36 divisors (see below), whose sum is σ = 226746. Its totient is φ = 25200.

The previous prime is 89071. The next prime is 89083. The reversal of 89082 is 28098.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 35721 = 231^2 + 189^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89082.

It is not an unprimeable number, because it can be changed into a prime (89083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 832 + ... + 932.

2⁸⁹⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113373).

89082 is an abundant number, since it is smaller than the sum of its proper divisors (137664).

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

89082 is a wasteful number, since it uses less digits than its factorization.

89082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89082 is about 298.4660784746. The cubic root of 89082 is about 44.6611586981.

The spelling of 89082 in words is "eighty-nine thousand, eighty-two".