33116564 has 18 divisors (see below), whose sum is σ = 62756190. Its totient is φ = 15284256.

The previous prime is 33116543. The next prime is 33116569. The reversal of 33116564 is 46561133.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4579600 + 28536964 = 2140^2 + 5342^2 .

It is a super-2 number, since 2×33116564² = 2193413622332192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33116569) 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 5 ways as a sum of consecutive naturals, for example, 23819 + ... + 25170.

It is an arithmetic number, because the mean of its divisors is an integer number (3486455).

Almost surely, 2^33116564 is an apocalyptic number.

It is an amenable number.

33116564 is a deficient number, since it is larger than the sum of its proper divisors (29639626).

33116564 is a wasteful number, since it uses less digits than its factorization.

33116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49019 (or 49004 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 33116564 is about 5754.6992970962. The cubic root of 33116564 is about 321.1306488363.

Adding to 33116564 its reverse (46561133), we get a palindrome (79677697).

The spelling of 33116564 in words is "thirty-three million, one hundred sixteen thousand, five hundred sixty-four".