33820874 has 16 divisors (see below), whose sum is σ = 53926080. Its totient is φ = 15863040.

The previous prime is 33820867. The next prime is 33820877. The reversal of 33820874 is 47802833.

It is a super-2 number, since 2×33820874² = 2287703036247752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (33820877) 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 7 ways as a sum of consecutive naturals, for example, 407 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (3370380).

Almost surely, 2^33820874 is an apocalyptic number.

33820874 is a deficient number, since it is larger than the sum of its proper divisors (20105206).

33820874 is a wasteful number, since it uses less digits than its factorization.

33820874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 33820874 is about 5815.5716829904. The cubic root of 33820874 is about 323.3912577935.

It can be divided in two parts, 338 and 20874, that added together give a palindrome (21212).

The spelling of 33820874 in words is "thirty-three million, eight hundred twenty thousand, eight hundred seventy-four".