66584017 has 2 divisors, whose sum is σ = 66584018. Its totient is φ = 66584016.

The previous prime is 66583991. The next prime is 66584039. The reversal of 66584017 is 71048566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65918161 + 665856 = 8119^2 + 816^2 .

It is a cyclic number.

It is not a de Polignac number, because 66584017 - 2¹¹ = 66581969 is a prime.

It is not a weakly prime, because it can be changed into another prime (66584047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33292008 + 33292009.

It is an arithmetic number, because the mean of its divisors is an integer number (33292009).

Almost surely, 2^66584017 is an apocalyptic number.

It is an amenable number.

66584017 is a deficient number, since it is larger than the sum of its proper divisors (1).

66584017 is an equidigital number, since it uses as much as digits as its factorization.

66584017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 66584017 is about 8159.9030018745. The cubic root of 66584017 is about 405.3124997558.

The spelling of 66584017 in words is "sixty-six million, five hundred eighty-four thousand, seventeen".