115705 has 8 divisors (see below), whose sum is σ = 141192. Its totient is φ = 91008.

The previous prime is 115693. The next prime is 115727. The reversal of 115705 is 507511.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 114921 = 28^2 + 339^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 115705 - 2¹¹ = 113657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (17649).

2¹¹⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

115705 is a deficient number, since it is larger than the sum of its proper divisors (25487).

115705 is an equidigital number, since it uses as much as digits as its factorization.

115705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 115705 is about 340.1543767174. The cubic root of 115705 is about 48.7286121389.

It can be divided in two parts, 115 and 705, that added together give a triangular number (820 = T₄₀).

The spelling of 115705 in words is "one hundred fifteen thousand, seven hundred five".