66705673 has 2 divisors, whose sum is σ = 66705674. Its totient is φ = 66705672.

The previous prime is 66705659. The next prime is 66705677. The reversal of 66705673 is 37650766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59799289 + 6906384 = 7733^2 + 2628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66705673 is a prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (66705677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33352836 + 33352837.

It is an arithmetic number, because the mean of its divisors is an integer number (33352837).

Almost surely, 2^66705673 is an apocalyptic number.

It is an amenable number.

66705673 is a deficient number, since it is larger than the sum of its proper divisors (1).

66705673 is an equidigital number, since it uses as much as digits as its factorization.

66705673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 66705673 is about 8167.3541003191. The cubic root of 66705673 is about 405.5591990860.

The spelling of 66705673 in words is "sixty-six million, seven hundred five thousand, six hundred seventy-three".