6589 has 4 divisors (see below), whose sum is σ = 7200. Its totient is φ = 5980.

The previous prime is 6581. The next prime is 6599. The reversal of 6589 is 9856.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 6589 - 2³ = 6581 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581) 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, 289 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

It is an amenable number.

6589 is a deficient number, since it is larger than the sum of its proper divisors (611).

6589 is a wasteful number, since it uses less digits than its factorization.

6589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its digits is 2160, while the sum is 28.

The square root of 6589 is about 81.1726554943. The cubic root of 6589 is about 18.7473477730.

Subtracting from 6589 its sum of digits (28), we obtain a 8-th power (6561 = 3⁸).

It can be divided in two parts, 6 and 589, that added together give a palindrome (595).

The spelling of 6589 in words is "six thousand, five hundred eighty-nine".