11705 has 4 divisors (see below), whose sum is σ = 14052. Its totient is φ = 9360.

The previous prime is 11701. The next prime is 11717. The reversal of 11705 is 50711.

11705 = 76² + 77².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 5776 = 77^2 + 76^2 .

It is not a de Polignac number, because 11705 - 2² = 11701 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5 and base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11705.

It is not an unprimeable number, because it can be changed into a prime (11701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1166 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (3513).

2¹¹⁷⁰⁵ is an apocalyptic number.

11705 is the 77-th centered square number.

It is an amenable number.

11705 is a deficient number, since it is larger than the sum of its proper divisors (2347).

11705 is an equidigital number, since it uses as much as digits as its factorization.

11705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 11705 is about 108.1896483033. The cubic root of 11705 is about 22.7051202329.

The spelling of 11705 in words is "eleven thousand, seven hundred five".