33305412 has 48 divisors (see below), whose sum is σ = 90502272. Its totient is φ = 9335040.

The previous prime is 33305387. The next prime is 33305417. The reversal of 33305412 is 21450333.

It is a super-2 number, since 2×33305412² = 2218500936979488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (33305417) 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, 712 + ... + 8192.

It is an arithmetic number, because the mean of its divisors is an integer number (1885464).

Almost surely, 2^33305412 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 33305412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45251136).

33305412 is an abundant number, since it is smaller than the sum of its proper divisors (57196860).

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

33305412 is a wasteful number, since it uses less digits than its factorization.

33305412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 33305412 is about 5771.0841269210. The cubic root of 33305412 is about 321.7399105972.

Adding to 33305412 its reverse (21450333), we get a palindrome (54755745).

The spelling of 33305412 in words is "thirty-three million, three hundred five thousand, four hundred twelve".