115663 has 2 divisors, whose sum is σ = 115664. Its totient is φ = 115662.

The previous prime is 115657. The next prime is 115679. The reversal of 115663 is 366511.

It is a weak prime.

It is an emirp because it is prime and its reverse (366511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115663 - 2⁵ = 115631 is a prime.

It is a plaindrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115603) 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 as a sum of consecutive naturals, namely, 57831 + 57832.

It is an arithmetic number, because the mean of its divisors is an integer number (57832).

2¹¹⁵⁶⁶³ is an apocalyptic number.

115663 is a deficient number, since it is larger than the sum of its proper divisors (1).

115663 is an equidigital number, since it uses as much as digits as its factorization.

115663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 115663 is about 340.0926344395. The cubic root of 115663 is about 48.7227153917.

It can be divided in two parts, 115 and 663, that multiplied together give a triangular number (76245 = T₃₉₀).

The spelling of 115663 in words is "one hundred fifteen thousand, six hundred sixty-three".