18585 has 24 divisors (see below), whose sum is σ = 37440. Its totient is φ = 8352.

The previous prime is 18583. The next prime is 18587. The reversal of 18585 is 58581.

It is an interprime number because it is at equal distance from previous prime (18583) and next prime (18587).

It is not a de Polignac number, because 18585 - 2¹ = 18583 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (18583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2¹⁸⁵⁸⁵ is an apocalyptic number.

18585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18585 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

18585 is a wasteful number, since it uses less digits than its factorization.

18585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 18585 is about 136.3268132100. The cubic root of 18585 is about 26.4883062207.

The spelling of 18585 in words is "eighteen thousand, five hundred eighty-five".