33126900 has 72 divisors (see below), whose sum is σ = 100035264. Its totient is φ = 8448000.

The previous prime is 33126883. The next prime is 33126901. The reversal of 33126900 is 962133.

It is a super-2 number, since 2×33126900² = 2194783007220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33126901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4500 + ... + 9300.

Almost surely, 2^33126900 is an apocalyptic number.

33126900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50017632).

33126900 is an abundant number, since it is smaller than the sum of its proper divisors (66908364).

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

33126900 is a wasteful number, since it uses less digits than its factorization.

33126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 33126900 is about 5755.5972756961. The cubic root of 33126900 is about 321.1640546885.

The spelling of 33126900 in words is "thirty-three million, one hundred twenty-six thousand, nine hundred".