705829 has 2 divisors, whose sum is σ = 705830. Its totient is φ = 705828.

The previous prime is 705827. The next prime is 705833. The reversal of 705829 is 928507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 49729 = 810^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 705829 - 2¹ = 705827 is a prime.

Together with 705827, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 705829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352914 + 352915.

It is an arithmetic number, because the mean of its divisors is an integer number (352915).

2⁷⁰⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

705829 is a deficient number, since it is larger than the sum of its proper divisors (1).

705829 is an equidigital number, since it uses as much as digits as its factorization.

705829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 705829 is about 840.1362984659. The cubic root of 705829 is about 89.0361760101.

The spelling of 705829 in words is "seven hundred five thousand, eight hundred twenty-nine".