82089 has 12 divisors (see below), whose sum is σ = 135616. Its totient is φ = 46872.

The previous prime is 82073. The next prime is 82129. The reversal of 82089 is 98028.

It is not a de Polignac number, because 82089 - 2⁴ = 82073 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82089.

It is not an unprimeable number, because it can be changed into a prime (82009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 714.

2⁸²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

82089 is a deficient number, since it is larger than the sum of its proper divisors (53527).

82089 is a wasteful number, since it uses less digits than its factorization.

82089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1313 counting only the distinct ones).

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

The square root of 82089 is about 286.5117798625. The cubic root of 82089 is about 43.4605270141.

It can be divided in two parts, 820 and 89, that added together give a palindrome (909).

The spelling of 82089 in words is "eighty-two thousand, eighty-nine".