66086593 has 2 divisors, whose sum is σ = 66086594. Its totient is φ = 66086592.

The previous prime is 66086569. The next prime is 66086597. The reversal of 66086593 is 39568066.

66086593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64529089 + 1557504 = 8033^2 + 1248^2 .

It is a cyclic number.

It is not a de Polignac number, because 66086593 - 2⁹ = 66086081 is a prime.

It is not a weakly prime, because it can be changed into another prime (66086597) 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, 33043296 + 33043297.

It is an arithmetic number, because the mean of its divisors is an integer number (33043297).

Almost surely, 2^66086593 is an apocalyptic number.

It is an amenable number.

66086593 is a deficient number, since it is larger than the sum of its proper divisors (1).

66086593 is an equidigital number, since it uses as much as digits as its factorization.

66086593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 66086593 is about 8129.3660884475. The cubic root of 66086593 is about 404.3006637617.

The spelling of 66086593 in words is "sixty-six million, eighty-six thousand, five hundred ninety-three".