33300084 has 36 divisors (see below), whose sum is σ = 82015584. Its totient is φ = 10514448.

The previous prime is 33300073. The next prime is 33300089. The reversal of 33300084 is 48000333.

It is a super-2 number, since 2×33300084² = 2217791188814112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33300084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300089) 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, 489 + ... + 8175.

Almost surely, 2^33300084 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 33300084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41007792).

33300084 is an abundant number, since it is smaller than the sum of its proper divisors (48715500).

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

33300084 is a wasteful number, since it uses less digits than its factorization.

33300084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33300084 is about 5770.6224967502. The cubic root of 33300084 is about 321.7227530087.

The spelling of 33300084 in words is "thirty-three million, three hundred thousand, eighty-four".