22585 has 4 divisors (see below), whose sum is σ = 27108. Its totient is φ = 18064.

The previous prime is 22573. The next prime is 22613. The reversal of 22585 is 58522.

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 2704 + 19881 = 52^2 + 141^2 .

It is a cyclic number.

It is not a de Polignac number, because 22585 - 2⁹ = 22073 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

22585 is a lucky number.

It is a nialpdrome in base 14.

It is an unprimeable number.

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, 2254 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (6777).

2²²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

22585 is a deficient number, since it is larger than the sum of its proper divisors (4523).

22585 is an equidigital number, since it uses as much as digits as its factorization.

22585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522.

The product of its digits is 800, while the sum is 22.

The square root of 22585 is about 150.2830662450. The cubic root of 22585 is about 28.2665864431.

Subtracting 22585 from its reverse (58522), we obtain a cube (35937 = 33³).

The spelling of 22585 in words is "twenty-two thousand, five hundred eighty-five".