33814208 has 28 divisors (see below), whose sum is σ = 67357752. Its totient is φ = 16842240.

The previous prime is 33814201. The next prime is 33814213. The reversal of 33814208 is 80241833.

It is a happy number.

It is a super-2 number, since 2×33814208² = 2286801325334528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33814201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18788 + ... + 20508.

It is an arithmetic number, because the mean of its divisors is an integer number (2405634).

Almost surely, 2^33814208 is an apocalyptic number.

It is an amenable number.

33814208 is a deficient number, since it is larger than the sum of its proper divisors (33543544).

33814208 is a wasteful number, since it uses less digits than its factorization.

33814208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 33814208 is about 5814.9985382629. The cubic root of 33814208 is about 323.3700098923.

The spelling of 33814208 in words is "thirty-three million, eight hundred fourteen thousand, two hundred eight".