33004985 has 16 divisors (see below), whose sum is σ = 42822864. Its totient is φ = 24275712.

The previous prime is 33004981. The next prime is 33005017. The reversal of 33004985 is 58940033.

It can be written as a sum of positive squares in 8 ways, for example, as 11449 + 32993536 = 107^2 + 5744^2 .

It is a cyclic number.

It is not a de Polignac number, because 33004985 - 2² = 33004981 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33004981) 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, 18179 + ... + 19911.

It is an arithmetic number, because the mean of its divisors is an integer number (2676429).

Almost surely, 2^33004985 is an apocalyptic number.

It is an amenable number.

33004985 is a deficient number, since it is larger than the sum of its proper divisors (9817879).

33004985 is a wasteful number, since it uses less digits than its factorization.

33004985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 33004985 is about 5744.9965187109. The cubic root of 33004985 is about 320.7695832557.

The spelling of 33004985 in words is "thirty-three million, four thousand, nine hundred eighty-five".