705066017 has 2 divisors, whose sum is σ = 705066018. Its totient is φ = 705066016.

The previous prime is 705065987. The next prime is 705066023. The reversal of 705066017 is 710660507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 680375056 + 24690961 = 26084^2 + 4969^2 .

It is an emirp because it is prime and its reverse (710660507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705066017 - 2¹² = 705061921 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (705066097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352533008 + 352533009.

It is an arithmetic number, because the mean of its divisors is an integer number (352533009).

Almost surely, 2^705066017 is an apocalyptic number.

It is an amenable number.

705066017 is a deficient number, since it is larger than the sum of its proper divisors (1).

705066017 is an equidigital number, since it uses as much as digits as its factorization.

705066017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 705066017 is about 26553.0792376327. The cubic root of 705066017 is about 890.0408250431.

The spelling of 705066017 in words is "seven hundred five million, sixty-six thousand, seventeen".