115765 has 12 divisors (see below), whose sum is σ = 151524. Its totient is φ = 84864.

The previous prime is 115763. The next prime is 115769. The reversal of 115765 is 567511.

It can be written as a sum of positive squares in 6 ways, for example, as 19044 + 96721 = 138^2 + 311^2 .

It is not a de Polignac number, because 115765 - 2¹ = 115763 is a prime.

It is a Duffinian number.

115765 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (12627).

2¹¹⁵⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

115765 is a deficient number, since it is larger than the sum of its proper divisors (35759).

115765 is a wasteful number, since it uses less digits than its factorization.

115765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 1050, while the sum is 25.

The square root of 115765 is about 340.2425605359. The cubic root of 115765 is about 48.7370335886.

It can be divided in two parts, 11 and 5765, that added together give a square (5776 = 76²).

The spelling of 115765 in words is "one hundred fifteen thousand, seven hundred sixty-five".