33312132 has 72 divisors (see below), whose sum is σ = 97720896. Its totient is φ = 9370944.

The previous prime is 33312127. The next prime is 33312151. The reversal of 33312132 is 23121333.

It is a super-2 number, since 2×33312132² = 2219396276770848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

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, 15898 + ... + 17870.

Almost surely, 2^33312132 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 33312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48860448).

33312132 is an abundant number, since it is smaller than the sum of its proper divisors (64408764).

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

33312132 is a wasteful number, since it uses less digits than its factorization.

33312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2052 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 33312132 is about 5771.6663105207. Note that the first 3 decimals coincide. The cubic root of 33312132 is about 321.7615481897.

Adding to 33312132 its reverse (23121333), we get a palindrome (56433465).

The spelling of 33312132 in words is "thirty-three million, three hundred twelve thousand, one hundred thirty-two".