33955152 has 80 divisors (see below), whose sum is σ = 109373952. Its totient is φ = 8818560.

The previous prime is 33955151. The next prime is 33955177. The reversal of 33955152 is 25155933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33955151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898 + ... + 8289.

Almost surely, 2^33955152 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 33955152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54686976).

33955152 is an abundant number, since it is smaller than the sum of its proper divisors (75418800).

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

33955152 is a wasteful number, since it uses less digits than its factorization.

33955152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9210 counting only the distinct ones).

The product of its digits is 20250, while the sum is 33.

The square root of 33955152 is about 5827.1049415640. The cubic root of 33955152 is about 323.8186761680.

The spelling of 33955152 in words is "thirty-three million, nine hundred fifty-five thousand, one hundred fifty-two".