33997700 has 72 divisors (see below), whose sum is σ = 83161344. Its totient is φ = 11952000.

The previous prime is 33997697. The next prime is 33997721. The reversal of 33997700 is 779933.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33602 + ... + 34598.

Almost surely, 2^33997700 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 33997700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580672).

33997700 is an abundant number, since it is smaller than the sum of its proper divisors (49163644).

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

33997700 is a wasteful number, since it uses less digits than its factorization.

33997700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 35721, while the sum is 38.

The square root of 33997700 is about 5830.7546681369. The cubic root of 33997700 is about 323.9538749560.

The spelling of 33997700 in words is "thirty-three million, nine hundred ninety-seven thousand, seven hundred".