705717 has 12 divisors (see below), whose sum is σ = 1073280. Its totient is φ = 445608.

The previous prime is 705713. The next prime is 705737. The reversal of 705717 is 717507.

705717 = T₂₆₃ + T₂₆₄ + ... + T₂₈₁.

705717 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 705717 - 2² = 705713 is a prime.

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

705717 is a lucky number.

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 705717.

It is not an unprimeable number, because it can be changed into a prime (705713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1893 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (89440).

2⁷⁰⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

705717 is a deficient number, since it is larger than the sum of its proper divisors (367563).

705717 is a wasteful number, since it uses less digits than its factorization.

705717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 705717 is about 840.0696399704. The cubic root of 705717 is about 89.0314663806.

The spelling of 705717 in words is "seven hundred five thousand, seven hundred seventeen".