16589 has 4 divisors (see below), whose sum is σ = 16956. Its totient is φ = 16224.

The previous prime is 16573. The next prime is 16603. The reversal of 16589 is 98561.

16589 is nontrivially palindromic in base 11.

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 4489 + 12100 = 67^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 16589 - 2⁴ = 16573 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16519) 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, 104 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (4239).

2¹⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

16589 is a deficient number, since it is larger than the sum of its proper divisors (367).

16589 is an equidigital number, since it uses as much as digits as its factorization.

16589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 2160, while the sum is 29.

The square root of 16589 is about 128.7982919141. The cubic root of 16589 is about 25.5039081540.

The spelling of 16589 in words is "sixteen thousand, five hundred eighty-nine".