705317 has 2 divisors, whose sum is σ = 705318. Its totient is φ = 705316.

The previous prime is 705307. The next prime is 705389. The reversal of 705317 is 713507.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 516961 + 188356 = 719^2 + 434^2 .

It is a cyclic number.

It is not a de Polignac number, because 705317 - 2¹² = 701221 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 705292 and 705301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705317.

It is not a weakly prime, because it can be changed into another prime (705307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352658 + 352659.

It is an arithmetic number, because the mean of its divisors is an integer number (352659).

2⁷⁰⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

705317 is a deficient number, since it is larger than the sum of its proper divisors (1).

705317 is an equidigital number, since it uses as much as digits as its factorization.

705317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 705317 is about 839.8315307251. The cubic root of 705317 is about 89.0146422065.

The spelling of 705317 in words is "seven hundred five thousand, three hundred seventeen".