705591 has 20 divisors (see below), whose sum is σ = 1091904. Its totient is φ = 453600.

The previous prime is 705559. The next prime is 705613. The reversal of 705591 is 195507.

705591 is a `hidden beast` number, since 70 + 5 + 591 = 666.

705591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 705591 - 2⁵ = 705559 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705591.

It is not an unprimeable number, because it can be changed into a prime (705521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2371 + ... + 2651.

2⁷⁰⁵⁵⁹¹ is an apocalyptic number.

705591 is a deficient number, since it is larger than the sum of its proper divisors (386313).

705591 is a wasteful number, since it uses less digits than its factorization.

705591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 705591 is about 839.9946428401. The cubic root of 705591 is about 89.0261674518.

It can be divided in two parts, 705 and 591, that added together give a 4-th power (1296 = 6⁴).

The spelling of 705591 in words is "seven hundred five thousand, five hundred ninety-one".