705807 has 8 divisors (see below), whose sum is σ = 1045680. Its totient is φ = 470520.

The previous prime is 705787. The next prime is 705821. The reversal of 705807 is 708507.

705807 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 705807 - 2¹⁰ = 704783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 26141 = 705807 / (7 + 0 + 5 + 8 + 0 + 7).

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 705807.

It is not an unprimeable number, because it can be changed into a prime (705827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13044 + ... + 13097.

It is an arithmetic number, because the mean of its divisors is an integer number (130710).

2⁷⁰⁵⁸⁰⁷ is an apocalyptic number.

705807 is a deficient number, since it is larger than the sum of its proper divisors (339873).

705807 is a wasteful number, since it uses less digits than its factorization.

705807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26150 (or 26144 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 705807 is about 840.1232052503. The cubic root of 705807 is about 89.0352509437.

The spelling of 705807 in words is "seven hundred five thousand, eight hundred seven".