33138952 has 64 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 12344640.

The previous prime is 33138949. The next prime is 33138961. The reversal of 33138952 is 25983133.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 15337.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^33138952 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 33138952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

33138952 is an abundant number, since it is smaller than the sum of its proper divisors (47731448).

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

33138952 is a wasteful number, since it uses less digits than its factorization.

33138952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 33138952 is about 5756.6441613148. The cubic root of 33138952 is about 321.2029978624.

The spelling of 33138952 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred fifty-two".