705389 has 2 divisors, whose sum is σ = 705390. Its totient is φ = 705388.

The previous prime is 705317. The next prime is 705403. The reversal of 705389 is 983507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 537289 + 168100 = 733^2 + 410^2 .

It is a cyclic number.

It is not a de Polignac number, because 705389 - 2¹⁶ = 639853 is a prime.

It is a super-3 number, since 3×705389³ = 1052948919833336607, which contains 333 as substring.

It is a Chen prime.

It is equal to p₅₆₉₅₇ and since 705389 and 56957 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705689) 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, 352694 + 352695.

It is an arithmetic number, because the mean of its divisors is an integer number (352695).

2⁷⁰⁵³⁸⁹ is an apocalyptic number.

It is an amenable number.

705389 is a deficient number, since it is larger than the sum of its proper divisors (1).

705389 is an equidigital number, since it uses as much as digits as its factorization.

705389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 705389 is about 839.8743953711. The cubic root of 705389 is about 89.0176710272.

The spelling of 705389 in words is "seven hundred five thousand, three hundred eighty-nine".