85589 has 4 divisors (see below), whose sum is σ = 97824. Its totient is φ = 73356.

The previous prime is 85577. The next prime is 85597. The reversal of 85589 is 98558.

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, and also an emirpimes, since its reverse is a distinct semiprime: 98558 = 2 ⋅49279.

It is a cyclic number.

It is not a de Polignac number, because 85589 - 2⁸ = 85333 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85549) 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, 6107 + ... + 6120.

It is an arithmetic number, because the mean of its divisors is an integer number (24456).

2⁸⁵⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

85589 is a deficient number, since it is larger than the sum of its proper divisors (12235).

85589 is a wasteful number, since it uses less digits than its factorization.

85589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234.

The product of its digits is 14400, while the sum is 35.

The square root of 85589 is about 292.5559775496. Note that the first 3 decimals coincide. The cubic root of 85589 is about 44.0696211853.

The spelling of 85589 in words is "eighty-five thousand, five hundred eighty-nine".