32585 has 16 divisors (see below), whose sum is σ = 48000. Its totient is φ = 21168.

The previous prime is 32579. The next prime is 32587. The reversal of 32585 is 58523.

It is not a de Polignac number, because 32585 - 2⁴ = 32569 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 32585.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32585.

It is not an unprimeable number, because it can be changed into a prime (32587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2³²⁵⁸⁵ is an apocalyptic number.

32585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32585 is a deficient number, since it is larger than the sum of its proper divisors (15415).

32585 is an equidigital number, since it uses as much as digits as its factorization.

32585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

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

The square root of 32585 is about 180.5131574152. The cubic root of 32585 is about 31.9403184477.

It can be divided in two parts, 3258 and 5, that multiplied together give a triangular number (16290 = T₁₈₀).

The spelling of 32585 in words is "thirty-two thousand, five hundred eighty-five".