33807813 has 16 divisors (see below), whose sum is σ = 49163520. Its totient is φ = 20539584.

The previous prime is 33807811. The next prime is 33807841. The reversal of 33807813 is 31870833.

33807813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33807813 - 2¹ = 33807811 is a prime.

It is a super-2 number, since 2×33807813² = 2285936439685938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33807811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2406 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (3072720).

Almost surely, 2^33807813 is an apocalyptic number.

It is an amenable number.

33807813 is a deficient number, since it is larger than the sum of its proper divisors (15355707).

33807813 is a wasteful number, since it uses less digits than its factorization.

33807813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11068.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 33807813 is about 5814.4486411009. The cubic root of 33807813 is about 323.3496231799.

The spelling of 33807813 in words is "thirty-three million, eight hundred seven thousand, eight hundred thirteen".