33009100 has 72 divisors (see below), whose sum is σ = 75026448. Its totient is φ = 12595200.

The previous prime is 33009083. The next prime is 33009101. The reversal of 33009100 is 190033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33009101) 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, 340252 + ... + 340348.

It is an arithmetic number, because the mean of its divisors is an integer number (1042034).

Almost surely, 2^33009100 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 33009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37513224).

33009100 is an abundant number, since it is smaller than the sum of its proper divisors (42017348).

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

33009100 is a wasteful number, since it uses less digits than its factorization.

33009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 33009100 is about 5745.3546452765. The cubic root of 33009100 is about 320.7829136863.

Adding to 33009100 its reverse (190033), we get a palindrome (33199133).

The spelling of 33009100 in words is "thirty-three million, nine thousand, one hundred".