33530952 has 96 divisors (see below), whose sum is σ = 103826880. Its totient is φ = 8835840.

The previous prime is 33530899. The next prime is 33530969. The reversal of 33530952 is 25903533.

It is a super-2 number, since 2×33530952² = 2248649484052608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27802 + ... + 28982.

It is an arithmetic number, because the mean of its divisors is an integer number (1081530).

Almost surely, 2^33530952 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 33530952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51913440).

33530952 is an abundant number, since it is smaller than the sum of its proper divisors (70295928).

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

33530952 is a wasteful number, since it uses less digits than its factorization.

33530952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

The square root of 33530952 is about 5790.5916796127. The cubic root of 33530952 is about 322.4645378951.

The spelling of 33530952 in words is "thirty-three million, five hundred thirty thousand, nine hundred fifty-two".