18589 has 4 divisors (see below), whose sum is σ = 19260. Its totient is φ = 17920.

The previous prime is 18587. The next prime is 18593. The reversal of 18589 is 98581.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98581 = 7 ⋅14083.

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 4900 = 117^2 + 70^2 .

It is a cyclic number.

It is not a de Polignac number, because 18589 - 2¹ = 18587 is a prime.

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

It is a Duffinian number.

18589 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 3 and base 12.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 18589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18583) 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 3 ways as a sum of consecutive naturals, for example, 292 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (4815).

2¹⁸⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

18589 is a deficient number, since it is larger than the sum of its proper divisors (671).

18589 is an equidigital number, since it uses as much as digits as its factorization.

18589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its digits is 2880, while the sum is 31.

The square root of 18589 is about 136.3414830490. The cubic root of 18589 is about 26.4902064202.

The spelling of 18589 in words is "eighteen thousand, five hundred eighty-nine".