104589 has 6 divisors (see below), whose sum is σ = 151086. Its totient is φ = 69720.

The previous prime is 104579. The next prime is 104593. The reversal of 104589 is 985401.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 38025 = 258^2 + 195^2 .

It is not a de Polignac number, because 104589 - 2¹² = 100493 is a prime.

It is a Curzon number.

104589 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5802 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (25181).

2¹⁰⁴⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

104589 is a deficient number, since it is larger than the sum of its proper divisors (46497).

104589 is a wasteful number, since it uses less digits than its factorization.

104589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 104589 is about 323.4022263374. The cubic root of 104589 is about 47.1153046400.

The spelling of 104589 in words is "one hundred four thousand, five hundred eighty-nine".