33115332 has 48 divisors (see below), whose sum is σ = 81829440. Its totient is φ = 10405248.

The previous prime is 33115297. The next prime is 33115339. The reversal of 33115332 is 23351133.

It is a junction number, because it is equal to n+sod(n) for n = 33115299 and 33115308.

It is not an unprimeable number, because it can be changed into a prime (33115339) 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 15 ways as a sum of consecutive naturals, for example, 13858 + ... + 16070.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 2^33115332 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 33115332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40914720).

33115332 is an abundant number, since it is smaller than the sum of its proper divisors (48714108).

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

33115332 is a wasteful number, since it uses less digits than its factorization.

33115332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2290 counting only the distinct ones).

The product of its digits is 810, while the sum is 21.

The square root of 33115332 is about 5754.5922531488. The cubic root of 33115332 is about 321.1266665605.

Adding to 33115332 its reverse (23351133), we get a palindrome (56466465).

The spelling of 33115332 in words is "thirty-three million, one hundred fifteen thousand, three hundred thirty-two".