33306252 has 48 divisors (see below), whose sum is σ = 90892032. Its totient is φ = 9293760.

The previous prime is 33306241. The next prime is 33306257. The reversal of 33306252 is 25260333.

It is a super-2 number, since 2×33306252² = 2218612844575008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33306257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999 + ... + 8222.

It is an arithmetic number, because the mean of its divisors is an integer number (1893584).

Almost surely, 2^33306252 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 33306252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45446016).

33306252 is an abundant number, since it is smaller than the sum of its proper divisors (57585780).

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

33306252 is a wasteful number, since it uses less digits than its factorization.

33306252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 33306252 is about 5771.1569030828. The cubic root of 33306252 is about 321.7426154554.

Adding to 33306252 its reverse (25260333), we get a palindrome (58566585).

The spelling of 33306252 in words is "thirty-three million, three hundred six thousand, two hundred fifty-two".