111666 has 16 divisors (see below), whose sum is σ = 229824. Its totient is φ = 36144.

The previous prime is 111659. The next prime is 111667. The reversal of 111666 is 666111.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹¹¹⁶⁶⁶ is an apocalyptic number.

111666 is an abundant number, since it is smaller than the sum of its proper divisors (118158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111666 is a wasteful number, since it uses less digits than its factorization.

111666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its digits is 216, while the sum is 21.

The square root of 111666 is about 334.1646300852. The cubic root of 111666 is about 48.1548816501.

Adding to 111666 its reverse (666111), we get a palindrome (777777).

It can be divided in two parts, 111 and 666, that added together give a palindrome (777).

The spelling of 111666 in words is "one hundred eleven thousand, six hundred sixty-six".