66065977 has 2 divisors, whose sum is σ = 66065978. Its totient is φ = 66065976.

The previous prime is 66065963. The next prime is 66066043. The reversal of 66065977 is 77956066.

66065977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42823936 + 23242041 = 6544^2 + 4821^2 .

It is a cyclic number.

It is not a de Polignac number, because 66065977 - 2¹¹ = 66063929 is a prime.

It is equal to p_3899845 and since 66065977 and 3899845 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (66065917) 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 as a sum of consecutive naturals, namely, 33032988 + 33032989.

It is an arithmetic number, because the mean of its divisors is an integer number (33032989).

Almost surely, 2^66065977 is an apocalyptic number.

It is an amenable number.

66065977 is a deficient number, since it is larger than the sum of its proper divisors (1).

66065977 is an equidigital number, since it uses as much as digits as its factorization.

66065977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 66065977 is about 8128.0979939959. The cubic root of 66065977 is about 404.2586182727.

The spelling of 66065977 in words is "sixty-six million, sixty-five thousand, nine hundred seventy-seven".