32085 has 24 divisors (see below), whose sum is σ = 59904. Its totient is φ = 15840.

The previous prime is 32083. The next prime is 32089. The reversal of 32085 is 58023.

32085 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 32085 - 2¹ = 32083 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32085.

It is not an unprimeable number, because it can be changed into a prime (32083) 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, 1020 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

2³²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

32085 is a deficient number, since it is larger than the sum of its proper divisors (27819).

32085 is a wasteful number, since it uses less digits than its factorization.

32085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32085 is about 179.1228628623. The cubic root of 32085 is about 31.7761064137.

The spelling of 32085 in words is "thirty-two thousand, eighty-five".