705585 has 16 divisors (see below), whose sum is σ = 1195776. Its totient is φ = 354048.

The previous prime is 705559. The next prime is 705613. The reversal of 705585 is 585507.

It is a happy number.

It is not a de Polignac number, because 705585 - 2⁶ = 705521 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (74736).

2⁷⁰⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

705585 is a deficient number, since it is larger than the sum of its proper divisors (490191).

705585 is a wasteful number, since it uses less digits than its factorization.

705585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792.

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 705585 is about 839.9910713811. The cubic root of 705585 is about 89.0259151061.

It can be divided in two parts, 7055 and 85, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 705585 in words is "seven hundred five thousand, five hundred eighty-five".