111663 has 12 divisors (see below), whose sum is σ = 170040. Its totient is φ = 70416.

The previous prime is 111659. The next prime is 111667. The reversal of 111663 is 366111.

111663 is a `hidden beast` number, since 1 + 1 + 1 + 663 = 666.

It is an interprime number because it is at equal distance from previous prime (111659) and next prime (111667).

It is not a de Polignac number, because 111663 - 2² = 111659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111667) 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, 156 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (14170).

2¹¹¹⁶⁶³ is an apocalyptic number.

111663 is a deficient number, since it is larger than the sum of its proper divisors (58377).

111663 is a wasteful number, since it uses less digits than its factorization.

111663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 111663 is about 334.1601412497. The cubic root of 111663 is about 48.1544504060.

Adding to 111663 its reverse (366111), we get a palindrome (477774).

It can be divided in two parts, 1 and 11663, that added together give a square (11664 = 108²).

The spelling of 111663 in words is "one hundred eleven thousand, six hundred sixty-three".