111993 has 8 divisors (see below), whose sum is σ = 170688. Its totient is φ = 63984.

The previous prime is 111977. The next prime is 111997. The reversal of 111993 is 399111.

111993 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 111993 - 2⁴ = 111977 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111993.

It is not an unprimeable number, because it can be changed into a prime (111997) 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 in 7 ways as a sum of consecutive naturals, for example, 2646 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2¹¹¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

111993 is a deficient number, since it is larger than the sum of its proper divisors (58695).

111993 is an equidigital number, since it uses as much as digits as its factorization.

111993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343.

The product of its digits is 243, while the sum is 24.

The square root of 111993 is about 334.6535521999. The cubic root of 111993 is about 48.2018410366.

The spelling of 111993 in words is "one hundred eleven thousand, nine hundred ninety-three".