33198984 has 160 divisors (see below), whose sum is σ = 114649920. Its totient is φ = 8740224.

The previous prime is 33198983. The next prime is 33198989. The reversal of 33198984 is 48989133.

It is a super-2 number, since 2×33198984² = 2204345077264512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33198983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58687 + ... + 59249.

It is an arithmetic number, because the mean of its divisors is an integer number (716562).

Almost surely, 2^33198984 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 33198984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57324960).

33198984 is an abundant number, since it is smaller than the sum of its proper divisors (81450936).

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

33198984 is a wasteful number, since it uses less digits than its factorization.

33198984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 33198984 is about 5761.8559509936. The cubic root of 33198984 is about 321.3968364859.

The spelling of 33198984 in words is "thirty-three million, one hundred ninety-eight thousand, nine hundred eighty-four".