32985 has 12 divisors (see below), whose sum is σ = 57252. Its totient is φ = 17568.

The previous prime is 32983. The next prime is 32987. The reversal of 32985 is 58923.

It is an interprime number because it is at equal distance from previous prime (32983) and next prime (32987).

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 8649 = 156^2 + 93^2 .

It is not a de Polignac number, because 32985 - 2¹ = 32983 is a prime.

It is a d-powerful number, because it can be written as 3⁴ + 2 + 9 + 8⁵ + 5³ .

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

32985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32985.

It is not an unprimeable number, because it can be changed into a prime (32983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (4771).

2³²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

32985 is a deficient number, since it is larger than the sum of its proper divisors (24267).

32985 is a wasteful number, since it uses less digits than its factorization.

32985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 32985 is about 181.6177304120. The cubic root of 32985 is about 32.0704826629.

It can be divided in two parts, 329 and 85, that added together give a palindrome (414).

The spelling of 32985 in words is "thirty-two thousand, nine hundred eighty-five".