705658313 has 2 divisors, whose sum is σ = 705658314. Its totient is φ = 705658312.

The previous prime is 705658277. The next prime is 705658379. The reversal of 705658313 is 313856507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 459544969 + 246113344 = 21437^2 + 15688^2 .

It is an emirp because it is prime and its reverse (313856507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705658313 - 2⁶ = 705658249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (705258313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352829156 + 352829157.

It is an arithmetic number, because the mean of its divisors is an integer number (352829157).

Almost surely, 2^705658313 is an apocalyptic number.

It is an amenable number.

705658313 is a deficient number, since it is larger than the sum of its proper divisors (1).

705658313 is an equidigital number, since it uses as much as digits as its factorization.

705658313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 705658313 is about 26564.2299530779. The cubic root of 705658313 is about 890.2899837789.

The spelling of 705658313 in words is "seven hundred five million, six hundred fifty-eight thousand, three hundred thirteen".