112663 has 2 divisors, whose sum is σ = 112664. Its totient is φ = 112662.

The previous prime is 112657. The next prime is 112687. The reversal of 112663 is 366211.

It is a weak prime.

It is an emirp because it is prime and its reverse (366211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112663 - 2¹³ = 104471 is a prime.

It is a super-4 number, since 4×112663⁴ (a number of 21 digits) contains 4444 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 112663.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56331 + 56332.

It is an arithmetic number, because the mean of its divisors is an integer number (56332).

2¹¹²⁶⁶³ is an apocalyptic number.

112663 is a deficient number, since it is larger than the sum of its proper divisors (1).

112663 is an equidigital number, since it uses as much as digits as its factorization.

112663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 112663 is about 335.6530947273. The cubic root of 112663 is about 48.2977727599.

Adding to 112663 its reverse (366211), we get a palindrome (478874).

The spelling of 112663 in words is "one hundred twelve thousand, six hundred sixty-three".