115785 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 59040.

The previous prime is 115783. The next prime is 115793. The reversal of 115785 is 587511.

It is not a de Polignac number, because 115785 - 2¹ = 115783 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹¹⁵⁷⁸⁵ is an apocalyptic number.

115785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115785 is a deficient number, since it is larger than the sum of its proper divisors (93879).

115785 is a wasteful number, since it uses less digits than its factorization.

115785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 115785 is about 340.2719500635. The cubic root of 115785 is about 48.7398400918.

It can be divided in two parts, 115 and 785, that added together give a square (900 = 30²).

The spelling of 115785 in words is "one hundred fifteen thousand, seven hundred eighty-five".