33284232 has 96 divisors (see below), whose sum is σ = 97044480. Its totient is φ = 10268160.

The previous prime is 33284231. The next prime is 33284261. The reversal of 33284232 is 23248233.

It is a super-2 number, since 2×33284232² = 2215680199659648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33284196 and 33284205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33284231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86713 + ... + 87095.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 2^33284232 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 33284232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522240).

33284232 is an abundant number, since it is smaller than the sum of its proper divisors (63760248).

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

33284232 is a wasteful number, since it uses less digits than its factorization.

33284232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 33284232 is about 5769.2488245871. The cubic root of 33284232 is about 321.6716944934.

The spelling of 33284232 in words is "thirty-three million, two hundred eighty-four thousand, two hundred thirty-two".