33382164 has 48 divisors (see below), whose sum is σ = 84654080. Its totient is φ = 10199520.

The previous prime is 33382127. The next prime is 33382201. The reversal of 33382164 is 46128333.

It is an interprime number because it is at equal distance from previous prime (33382127) and next prime (33382201).

It is a super-2 number, since 2×33382164² = 2228737746645792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4707 + ... + 9429.

Almost surely, 2^33382164 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 33382164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42327040).

33382164 is an abundant number, since it is smaller than the sum of its proper divisors (51271916).

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

33382164 is a wasteful number, since it uses less digits than its factorization.

33382164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4778 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 33382164 is about 5777.7300040760. The cubic root of 33382164 is about 321.9868698271.

The spelling of 33382164 in words is "thirty-three million, three hundred eighty-two thousand, one hundred sixty-four".