705713 has 2 divisors, whose sum is σ = 705714. Its totient is φ = 705712.

The previous prime is 705689. The next prime is 705737. The reversal of 705713 is 317507.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (705689) and next prime (705737).

It can be written as a sum of positive squares in only one way, i.e., 552049 + 153664 = 743^2 + 392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-705713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (705763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352856 + 352857.

It is an arithmetic number, because the mean of its divisors is an integer number (352857).

2⁷⁰⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

705713 is a deficient number, since it is larger than the sum of its proper divisors (1).

705713 is an equidigital number, since it uses as much as digits as its factorization.

705713 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 705713 is about 840.0672592120. The cubic root of 705713 is about 89.0312981704.

The spelling of 705713 in words is "seven hundred five thousand, seven hundred thirteen".