705013 has 2 divisors, whose sum is σ = 705014. Its totient is φ = 705012.

The previous prime is 705011. The next prime is 705017. The reversal of 705013 is 310507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550564 + 154449 = 742^2 + 393^2 .

It is an emirp because it is prime and its reverse (310507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705013 - 2¹ = 705011 is a prime.

Together with 705011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352506 + 352507.

It is an arithmetic number, because the mean of its divisors is an integer number (352507).

2⁷⁰⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

705013 is a deficient number, since it is larger than the sum of its proper divisors (1).

705013 is an equidigital number, since it uses as much as digits as its factorization.

705013 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 16.

The square root of 705013 is about 839.6505225390. The cubic root of 705013 is about 89.0018515795.

The spelling of 705013 in words is "seven hundred five thousand, thirteen".