33138792 has 48 divisors (see below), whose sum is σ = 90382500. Its totient is φ = 10968576.

The previous prime is 33138779. The next prime is 33138811. The reversal of 33138792 is 29783133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 30276 = 5754^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 9184 + ... + 12272.

Almost surely, 2^33138792 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 33138792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45191250).

33138792 is an abundant number, since it is smaller than the sum of its proper divisors (57243708).

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

33138792 is a wasteful number, since it uses less digits than its factorization.

33138792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3243 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 33138792 is about 5756.6302643126. The cubic root of 33138792 is about 321.2024809222.

It can be divided in two parts, 33138 and 792, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 33138792 in words is "thirty-three million, one hundred thirty-eight thousand, seven hundred ninety-two".