33275952 has 60 divisors (see below), whose sum is σ = 94543800. Its totient is φ = 10923264.

The previous prime is 33275933. The next prime is 33275959. The reversal of 33275952 is 25957233.

It is a super-2 number, since 2×33275952² = 2214577963012608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33275959) 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, 7924 + ... + 11372.

It is an arithmetic number, because the mean of its divisors is an integer number (1575730).

Almost surely, 2^33275952 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 33275952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47271900).

33275952 is an abundant number, since it is smaller than the sum of its proper divisors (61267848).

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

33275952 is a wasteful number, since it uses less digits than its factorization.

33275952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3521 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 33275952 is about 5768.5311821988. The cubic root of 33275952 is about 321.6450185735.

The spelling of 33275952 in words is "thirty-three million, two hundred seventy-five thousand, nine hundred fifty-two".