33813901 has 32 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 26438400.

The previous prime is 33813869. The next prime is 33813907. The reversal of 33813901 is 10931833.

33813901 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 33813901 - 2⁵ = 33813869 is a prime.

It is a super-2 number, since 2×33813901² = 2286759801675602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33813901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33813907) 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 31 ways as a sum of consecutive naturals, for example, 109990 + ... + 110296.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^33813901 is an apocalyptic number.

33813901 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33813901 is a deficient number, since it is larger than the sum of its proper divisors (8764019).

33813901 is a wasteful number, since it uses less digits than its factorization.

33813901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 33813901 is about 5814.9721409479. The cubic root of 33813901 is about 323.3690312613.

The spelling of 33813901 in words is "thirty-three million, eight hundred thirteen thousand, nine hundred one".