33005252 has 48 divisors (see below), whose sum is σ = 68597760. Its totient is φ = 13601952.

The previous prime is 33005251. The next prime is 33005281. The reversal of 33005252 is 25250033.

It is not an unprimeable number, because it can be changed into a prime (33005251) 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, 94943 + ... + 95289.

It is an arithmetic number, because the mean of its divisors is an integer number (1429120).

Almost surely, 2^33005252 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 33005252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34298880).

33005252 is an abundant number, since it is smaller than the sum of its proper divisors (35592508).

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

33005252 is a wasteful number, since it uses less digits than its factorization.

33005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 33005252 is about 5745.0197562759. The cubic root of 33005252 is about 320.7704482286.

Adding to 33005252 its reverse (25250033), we get a palindrome (58255285).

The spelling of 33005252 in words is "thirty-three million, five thousand, two hundred fifty-two".