705766097 has 2 divisors, whose sum is σ = 705766098. Its totient is φ = 705766096.

The previous prime is 705766081. The next prime is 705766111. The reversal of 705766097 is 790667507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474847681 + 230918416 = 21791^2 + 15196^2 .

It is a cyclic number.

It is not a de Polignac number, because 705766097 - 2⁴ = 705766081 is a prime.

It is a super-2 number, since 2×705766097² = 996211567349226818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (705766027) 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, 352883048 + 352883049.

It is an arithmetic number, because the mean of its divisors is an integer number (352883049).

Almost surely, 2^705766097 is an apocalyptic number.

It is an amenable number.

705766097 is a deficient number, since it is larger than the sum of its proper divisors (1).

705766097 is an equidigital number, since it uses as much as digits as its factorization.

705766097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 555660, while the sum is 47.

The square root of 705766097 is about 26566.2586187818. The cubic root of 705766097 is about 890.3353098376.

The spelling of 705766097 in words is "seven hundred five million, seven hundred sixty-six thousand, ninety-seven".