33008985 has 64 divisors (see below), whose sum is σ = 65491200. Its totient is φ = 15676416.

The previous prime is 33008981. The next prime is 33008999. The reversal of 33008985 is 58980033.

It is not a de Polignac number, because 33008985 - 2² = 33008981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33008981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43227 + ... + 43983.

It is an arithmetic number, because the mean of its divisors is an integer number (1023300).

Almost surely, 2^33008985 is an apocalyptic number.

It is an amenable number.

33008985 is a deficient number, since it is larger than the sum of its proper divisors (32482215).

33008985 is a wasteful number, since it uses less digits than its factorization.

33008985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 33008985 is about 5745.3446371824. The cubic root of 33008985 is about 320.7825411620.

The spelling of 33008985 in words is "thirty-three million, eight thousand, nine hundred eighty-five".