82989 has 6 divisors (see below), whose sum is σ = 119886. Its totient is φ = 55320.

The previous prime is 82981. The next prime is 82997. The reversal of 82989 is 98928.

It is an interprime number because it is at equal distance from previous prime (82981) and next prime (82997).

It can be written as a sum of positive squares in only one way, i.e., 81225 + 1764 = 285^2 + 42^2 .

It is not a de Polignac number, because 82989 - 2³ = 82981 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4602 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (19981).

2⁸²⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

82989 is a deficient number, since it is larger than the sum of its proper divisors (36897).

82989 is a wasteful number, since it uses less digits than its factorization.

82989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9224 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82989 is about 288.0781144065. The cubic root of 82989 is about 43.6187796102.

The spelling of 82989 in words is "eighty-two thousand, nine hundred eighty-nine".