33113664 has 56 divisors (see below), whose sum is σ = 97353120. Its totient is φ = 11037312.

The previous prime is 33113659. The next prime is 33113669. The reversal of 33113664 is 46631133.

It is an interprime number because it is at equal distance from previous prime (33113659) and next prime (33113669).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33113669) 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 7 ways as a sum of consecutive naturals, for example, 7854 + ... + 11309.

Almost surely, 2^33113664 is an apocalyptic number.

It is an amenable number.

33113664 is an abundant number, since it is smaller than the sum of its proper divisors (64239456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33113664 is a wasteful number, since it uses less digits than its factorization.

33113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19184 (or 19168 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 33113664 is about 5754.4473235924. The cubic root of 33113664 is about 321.1212748156.

Adding to 33113664 its reverse (46631133), we get a palindrome (79744797).

The spelling of 33113664 in words is "thirty-three million, one hundred thirteen thousand, six hundred sixty-four".