33885 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 18000.

The previous prime is 33871. The next prime is 33889. The reversal of 33885 is 58833.

33885 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33885 - 2⁷ = 33757 is a prime.

It is a super-2 number, since 2×33885² = 2296386450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

33885 is strictly pandigital in base 6.

33885 is a lucky number.

It is a plaindrome in base 13.

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 33885.

It is not an unprimeable number, because it can be changed into a prime (33889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³³⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

33885 is a deficient number, since it is larger than the sum of its proper divisors (26595).

33885 is a wasteful number, since it uses less digits than its factorization.

33885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 33885 is about 184.0787874797. The cubic root of 33885 is about 32.3595517200.

The spelling of 33885 in words is "thirty-three thousand, eight hundred eighty-five".