705113 has 2 divisors, whose sum is σ = 705114. Its totient is φ = 705112.

The previous prime is 705097. The next prime is 705119. The reversal of 705113 is 311507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 597529 + 107584 = 773^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 705113 - 2⁴ = 705097 is a prime.

It is a Chen prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 705091 and 705100.

It is not a weakly prime, because it can be changed into another prime (705119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352556 + 352557.

It is an arithmetic number, because the mean of its divisors is an integer number (352557).

2⁷⁰⁵¹¹³ is an apocalyptic number.

It is an amenable number.

705113 is a deficient number, since it is larger than the sum of its proper divisors (1).

705113 is an equidigital number, since it uses as much as digits as its factorization.

705113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 705113 is about 839.7100690119. The cubic root of 705113 is about 89.0060594284.

It can be divided in two parts, 705 and 113, that added together give a palindrome (818).

The spelling of 705113 in words is "seven hundred five thousand, one hundred thirteen".