11585 has 8 divisors (see below), whose sum is σ = 15936. Its totient is φ = 7920.

The previous prime is 11579. The next prime is 11587. The reversal of 11585 is 58511.

11585 = T₅₄ + T₅₅ + ... + T₆₀.

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

It is not a de Polignac number, because 11585 - 2⁸ = 11329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11587) 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, 131 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1992).

2¹¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

11585 is a deficient number, since it is larger than the sum of its proper divisors (4351).

11585 is an equidigital number, since it uses as much as digits as its factorization.

11585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its digits is 200, while the sum is 20.

The square root of 11585 is about 107.6336378647. The cubic root of 11585 is about 22.6272623726.

The spelling of 11585 in words is "eleven thousand, five hundred eighty-five".