705738673 has 2 divisors, whose sum is σ = 705738674. Its totient is φ = 705738672.

The previous prime is 705738637. The next prime is 705738689. The reversal of 705738673 is 376837507.

Together with previous prime (705738637) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 637461504 + 68277169 = 25248^2 + 8263^2 .

It is a cyclic number.

It is not a de Polignac number, because 705738673 - 2⁹ = 705738161 is a prime.

It is not a weakly prime, because it can be changed into another prime (705738623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352869336 + 352869337.

It is an arithmetic number, because the mean of its divisors is an integer number (352869337).

Almost surely, 2^705738673 is an apocalyptic number.

It is an amenable number.

705738673 is a deficient number, since it is larger than the sum of its proper divisors (1).

705738673 is an equidigital number, since it uses as much as digits as its factorization.

705738673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 740880, while the sum is 46.

The square root of 705738673 is about 26565.7424703320. The cubic root of 705738673 is about 890.3237777488.

The spelling of 705738673 in words is "seven hundred five million, seven hundred thirty-eight thousand, six hundred seventy-three".