33201882 has 48 divisors (see below), whose sum is σ = 84232512. Its totient is φ = 9253440.

The previous prime is 33201871. The next prime is 33201893. The reversal of 33201882 is 28810233.

It is an interprime number because it is at equal distance from previous prime (33201871) and next prime (33201893).

It is a super-2 number, since 2×33201882² = 2204729936683848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1754844).

Almost surely, 2^33201882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33201882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42116256).

33201882 is an abundant number, since it is smaller than the sum of its proper divisors (51030630).

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

33201882 is a wasteful number, since it uses less digits than its factorization.

33201882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 33201882 is about 5762.1074269750. The cubic root of 33201882 is about 321.4061879863.

The spelling of 33201882 in words is "thirty-three million, two hundred one thousand, eight hundred eighty-two".