33113808 has 270 divisors, whose sum is σ = 122527314. Its totient is φ = 8273664.

The previous prime is 33113791. The next prime is 33113819. The reversal of 33113808 is 80831133.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 10188864 = 4788^2 + 3192^2 .

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 53 ways as a sum of consecutive naturals, for example, 1742823 + ... + 1742841.

Almost surely, 2^33113808 is an apocalyptic number.

33113808 is a gapful number since it is divisible by the number (38) 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 33113808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263657).

33113808 is an abundant number, since it is smaller than the sum of its proper divisors (89413506).

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

33113808 is a wasteful number, since it uses less digits than its factorization.

33113808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 33113808 is about 5754.4598356405. The cubic root of 33113808 is about 321.1217402971.

The spelling of 33113808 in words is "thirty-three million, one hundred thirteen thousand, eight hundred eight".