33972108 has 48 divisors (see below), whose sum is σ = 84036960. Its totient is φ = 10662400.

The previous prime is 33972091. The next prime is 33972143. The reversal of 33972108 is 80127933.

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, 13078 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (1750770).

Almost surely, 2^33972108 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 33972108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42018480).

33972108 is an abundant number, since it is smaller than the sum of its proper divisors (50064852).

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

33972108 is a wasteful number, since it uses less digits than its factorization.

33972108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 33972108 is about 5828.5596848621. The cubic root of 33972108 is about 323.8725683900.

The spelling of 33972108 in words is "thirty-three million, nine hundred seventy-two thousand, one hundred eight".