115935 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 60320.

The previous prime is 115933. The next prime is 115963. The reversal of 115935 is 539511.

It is not a de Polignac number, because 115935 - 2¹ = 115933 is a prime.

115935 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 115935.

It is not an unprimeable number, because it can be changed into a prime (115931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 820 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹¹⁵⁹³⁵ is an apocalyptic number.

115935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115935 is a deficient number, since it is larger than the sum of its proper divisors (74145).

115935 is a wasteful number, since it uses less digits than its factorization.

115935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 675, while the sum is 24.

The square root of 115935 is about 340.4922906616. The cubic root of 115935 is about 48.7608785716.

The spelling of 115935 in words is "one hundred fifteen thousand, nine hundred thirty-five".