33813364 has 24 divisors (see below), whose sum is σ = 64932840. Its totient is φ = 15310464.

The previous prime is 33813361. The next prime is 33813371. The reversal of 33813364 is 46331833.

33813364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10368400 + 23444964 = 3220^2 + 4842^2 .

It is a super-2 number, since 2×33813364² = 2286687169992992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33813361) 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 7 ways as a sum of consecutive naturals, for example, 3379 + ... + 8890.

It is an arithmetic number, because the mean of its divisors is an integer number (2705535).

Almost surely, 2^33813364 is an apocalyptic number.

It is an amenable number.

33813364 is a deficient number, since it is larger than the sum of its proper divisors (31119476).

33813364 is a wasteful number, since it uses less digits than its factorization.

33813364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12337 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 33813364 is about 5814.9259668546. The cubic root of 33813364 is about 323.3673194398.

The spelling of 33813364 in words is "thirty-three million, eight hundred thirteen thousand, three hundred sixty-four".