20585 has 8 divisors (see below), whose sum is σ = 25920. Its totient is φ = 15664.

The previous prime is 20563. The next prime is 20593. The reversal of 20585 is 58502.

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 20585 - 2⁶ = 20521 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2²⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

20585 is a deficient number, since it is larger than the sum of its proper divisors (5335).

20585 is a wasteful number, since it uses less digits than its factorization.

20585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 20585 is about 143.4747364521. The cubic root of 20585 is about 27.4062926212.

The spelling of 20585 in words is "twenty thousand, five hundred eighty-five".