705827 has 2 divisors, whose sum is σ = 705828. Its totient is φ = 705826.

The previous prime is 705821. The next prime is 705829. The reversal of 705827 is 728507.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 705827 - 2⁶ = 705763 is a prime.

Together with 705829, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705827.

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, 352913 + 352914.

It is an arithmetic number, because the mean of its divisors is an integer number (352914).

2⁷⁰⁵⁸²⁷ is an apocalyptic number.

705827 is a deficient number, since it is larger than the sum of its proper divisors (1).

705827 is an equidigital number, since it uses as much as digits as its factorization.

705827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 705827 is about 840.1351081820. The cubic root of 705827 is about 89.0360919140.

The spelling of 705827 in words is "seven hundred five thousand, eight hundred twenty-seven".