115565 has 8 divisors (see below), whose sum is σ = 143640. Its totient is φ = 89152.

The previous prime is 115561. The next prime is 115571. The reversal of 115565 is 565511.

115565 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 11881 + 103684 = 109^2 + 322^2 .

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 115565 - 2² = 115561 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 115565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2¹¹⁵⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

115565 is a deficient number, since it is larger than the sum of its proper divisors (28075).

115565 is an equidigital number, since it uses as much as digits as its factorization.

115565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its digits is 750, while the sum is 23.

The square root of 115565 is about 339.9485255153. The cubic root of 115565 is about 48.7089507615.

The spelling of 115565 in words is "one hundred fifteen thousand, five hundred sixty-five".