66564117 has 12 divisors (see below), whose sum is σ = 96571020. Its totient is φ = 44180928.

The previous prime is 66564103. The next prime is 66564143. The reversal of 66564117 is 71146566.

66564117 is a `hidden beast` number, since 6 + 6 + 5 + 641 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63345681 + 3218436 = 7959^2 + 1794^2 .

It is not a de Polignac number, because 66564117 - 2⁷ = 66563989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66564167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14088 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (8047585).

Almost surely, 2^66564117 is an apocalyptic number.

It is an amenable number.

66564117 is a deficient number, since it is larger than the sum of its proper divisors (30006903).

66564117 is a wasteful number, since it uses less digits than its factorization.

66564117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32532 (or 32529 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 66564117 is about 8158.6835335120. The cubic root of 66564117 is about 405.2721170795.

The spelling of 66564117 in words is "sixty-six million, five hundred sixty-four thousand, one hundred seventeen".