705100117 has 2 divisors, whose sum is σ = 705100118. Its totient is φ = 705100116.

The previous prime is 705100073. The next prime is 705100139. The reversal of 705100117 is 711001507.

705100117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (705100139) can be obtained adding 705100117 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672313041 + 32787076 = 25929^2 + 5726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-705100117 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705110117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352550058 + 352550059.

It is an arithmetic number, because the mean of its divisors is an integer number (352550059).

Almost surely, 2^705100117 is an apocalyptic number.

It is an amenable number.

705100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

705100117 is an equidigital number, since it uses as much as digits as its factorization.

705100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 705100117 is about 26553.7213399553. The cubic root of 705100117 is about 890.0551735353.

The spelling of 705100117 in words is "seven hundred five million, one hundred thousand, one hundred seventeen".