82589 has 4 divisors (see below), whose sum is σ = 88956. Its totient is φ = 76224.

The previous prime is 82571. The next prime is 82591. The reversal of 82589 is 98528.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24025 + 58564 = 155^2 + 242^2 .

It is a cyclic number.

It is not a de Polignac number, because 82589 - 2¹⁶ = 17053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529) 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, 3164 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (22239).

2⁸²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

82589 is a deficient number, since it is larger than the sum of its proper divisors (6367).

82589 is a wasteful number, since it uses less digits than its factorization.

82589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366.

The product of its digits is 5760, while the sum is 32.

The square root of 82589 is about 287.3830196793. The cubic root of 82589 is about 43.5485870988.

Adding to 82589 its sum of digits (32), we get a triangular number (82621 = T₄₀₆).

The spelling of 82589 in words is "eighty-two thousand, five hundred eighty-nine".