33982164 has 36 divisors (see below), whose sum is σ = 86530080. Its totient is φ = 11244240.

The previous prime is 33982163. The next prime is 33982181. The reversal of 33982164 is 46128933.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33982163) 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, 1609 + ... + 8399.

Almost surely, 2^33982164 is an apocalyptic number.

It is an amenable number.

33982164 is an abundant number, since it is smaller than the sum of its proper divisors (52547916).

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

33982164 is a wasteful number, since it uses less digits than its factorization.

33982164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6935 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33982164 is about 5829.4222698309. The cubic root of 33982164 is about 323.9045214778.

The spelling of 33982164 in words is "thirty-three million, nine hundred eighty-two thousand, one hundred sixty-four".