115993 has 4 divisors (see below), whose sum is σ = 116788. Its totient is φ = 115200.

The previous prime is 115987. The next prime is 116009. The reversal of 115993 is 399511.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 399511 = 7 ⋅57073.

It can be written as a sum of positive squares in 2 ways, for example, as 64009 + 51984 = 253^2 + 228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-115993 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (115903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (29197).

2¹¹⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

115993 is a deficient number, since it is larger than the sum of its proper divisors (795).

115993 is an equidigital number, since it uses as much as digits as its factorization.

115993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794.

The product of its digits is 1215, while the sum is 28.

The square root of 115993 is about 340.5774508097. The cubic root of 115993 is about 48.7690085855.

The spelling of 115993 in words is "one hundred fifteen thousand, nine hundred ninety-three".