33289164 has 96 divisors (see below), whose sum is σ = 91105280. Its totient is φ = 10497600.

The previous prime is 33289163. The next prime is 33289177. The reversal of 33289164 is 46198233.

It is a super-2 number, since 2×33289164² = 2216336879637792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33289163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204147 + ... + 204309.

Almost surely, 2^33289164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33289164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45552640).

33289164 is an abundant number, since it is smaller than the sum of its proper divisors (57816116).

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

33289164 is a wasteful number, since it uses less digits than its factorization.

33289164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

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

The square root of 33289164 is about 5769.6762474163. The cubic root of 33289164 is about 321.6875819607.

The spelling of 33289164 in words is "thirty-three million, two hundred eighty-nine thousand, one hundred sixty-four".