33138216 has 48 divisors (see below), whose sum is σ = 93656160. Its totient is φ = 10565280.

The previous prime is 33138211. The next prime is 33138241. The reversal of 33138216 is 61283133.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33138216.

It is not an unprimeable number, because it can be changed into a prime (33138211) by changing a digit.

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, 8350 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (1951170).

Almost surely, 2^33138216 is an apocalyptic number.

33138216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33138216 is an abundant number, since it is smaller than the sum of its proper divisors (60517944).

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

33138216 is a wasteful number, since it uses less digits than its factorization.

33138216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046 (or 20039 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33138216 is about 5756.5802348269. The cubic root of 33138216 is about 321.2006199240.

The spelling of 33138216 in words is "thirty-three million, one hundred thirty-eight thousand, two hundred sixteen".