33916164 has 24 divisors (see below), whose sum is σ = 80979360. Its totient is φ = 11042304.

The previous prime is 33916153. The next prime is 33916177. The reversal of 33916164 is 46161933.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32349 + ... + 33380.

It is an arithmetic number, because the mean of its divisors is an integer number (3374140).

Almost surely, 2^33916164 is an apocalyptic number.

It is an amenable number.

33916164 is an abundant number, since it is smaller than the sum of its proper divisors (47063196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33916164 is a wasteful number, since it uses less digits than its factorization.

33916164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65779 (or 65777 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 33916164 is about 5823.7585801611. The cubic root of 33916164 is about 323.6946902925.

The spelling of 33916164 in words is "thirty-three million, nine hundred sixteen thousand, one hundred sixty-four".