33824972 has 12 divisors (see below), whose sum is σ = 59282160. Its totient is φ = 16887216.

The previous prime is 33824969. The next prime is 33824977. The reversal of 33824972 is 27942833.

It is a happy number.

It is a super-2 number, since 2×33824972² = 2288257461601568, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (33824977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3128 + ... + 8799.

It is an arithmetic number, because the mean of its divisors is an integer number (4940180).

Almost surely, 2^33824972 is an apocalyptic number.

It is an amenable number.

33824972 is a deficient number, since it is larger than the sum of its proper divisors (25457188).

33824972 is a wasteful number, since it uses less digits than its factorization.

33824972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12638 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 33824972 is about 5815.9240022545. The cubic root of 33824972 is about 323.4043187989.

The spelling of 33824972 in words is "thirty-three million, eight hundred twenty-four thousand, nine hundred seventy-two".