33825232 has 40 divisors (see below), whose sum is σ = 76141952. Its totient is φ = 14256000.

The previous prime is 33825229. The next prime is 33825269. The reversal of 33825232 is 23252833.

It is a super-2 number, since 2×33825232² = 2288292639707648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33825232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4357 + ... + 9307.

Almost surely, 2^33825232 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 33825232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070976).

33825232 is an abundant number, since it is smaller than the sum of its proper divisors (42316720).

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

33825232 is a wasteful number, since it uses less digits than its factorization.

33825232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5021 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 33825232 is about 5815.9463546357. The cubic root of 33825232 is about 323.4051474264.

The spelling of 33825232 in words is "thirty-three million, eight hundred twenty-five thousand, two hundred thirty-two".