23585 has 8 divisors (see below), whose sum is σ = 29160. Its totient is φ = 18304.

The previous prime is 23581. The next prime is 23593. The reversal of 23585 is 58532.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 21904 = 41^2 + 148^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23585 - 2² = 23581 is a prime.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 23585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2²³⁵⁸⁵ is an apocalyptic number.

23585 is the 89-th octagonal number.

It is an amenable number.

23585 is a deficient number, since it is larger than the sum of its proper divisors (5575).

23585 is an equidigital number, since it uses as much as digits as its factorization.

23585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 1200, while the sum is 23.

The square root of 23585 is about 153.5740863557. The cubic root of 23585 is about 28.6777644670.

The spelling of 23585 in words is "twenty-three thousand, five hundred eighty-five".