66585677 has 2 divisors, whose sum is σ = 66585678. Its totient is φ = 66585676.

The previous prime is 66585661. The next prime is 66585691. The reversal of 66585677 is 77658566.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40309801 + 26275876 = 6349^2 + 5126^2 .

It is a cyclic number.

It is not a de Polignac number, because 66585677 - 2⁴ = 66585661 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66585637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33292838 + 33292839.

It is an arithmetic number, because the mean of its divisors is an integer number (33292839).

Almost surely, 2^66585677 is an apocalyptic number.

It is an amenable number.

66585677 is a deficient number, since it is larger than the sum of its proper divisors (1).

66585677 is an equidigital number, since it uses as much as digits as its factorization.

66585677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2116800, while the sum is 50.

The square root of 66585677 is about 8160.0047181359. The cubic root of 66585677 is about 405.3158679973.

The spelling of 66585677 in words is "sixty-six million, five hundred eighty-five thousand, six hundred seventy-seven".