33138950 has 48 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 11512320.

The previous prime is 33138949. The next prime is 33138961. The reversal of 33138950 is 5983133.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9551 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^33138950 is an apocalyptic number.

33138950 is an abundant number, since it is smaller than the sum of its proper divisors (37169050).

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

33138950 is a wasteful number, since it uses less digits than its factorization.

33138950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 33138950 is about 5756.6439876025. The cubic root of 33138950 is about 321.2029914006.

The spelling of 33138950 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred fifty".