33172984 has 64 divisors (see below), whose sum is σ = 73483200. Its totient is φ = 13891584.

The previous prime is 33172943. The next prime is 33173003. The reversal of 33172984 is 48927133.

It is a super-2 number, since 2×33172984² = 2200893734928512, 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, 50949 + ... + 51595.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^33172984 is an apocalyptic number.

33172984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33172984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36741600).

33172984 is an abundant number, since it is smaller than the sum of its proper divisors (40310216).

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

33172984 is a wasteful number, since it uses less digits than its factorization.

33172984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 33172984 is about 5759.5992916174. The cubic root of 33172984 is about 321.3129132336.

The spelling of 33172984 in words is "thirty-three million, one hundred seventy-two thousand, nine hundred eighty-four".