11166 has 8 divisors (see below), whose sum is σ = 22344. Its totient is φ = 3720.

The previous prime is 11161. The next prime is 11171. The reversal of 11166 is 66111.

It is an interprime number because it is at equal distance from previous prime (11161) and next prime (11171).

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

11166 is an admirable number.

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 nialpdrome in base 11.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11166.

It is not an unprimeable number, because it can be changed into a prime (11161) by changing a digit.

11166 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 925 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2¹¹¹⁶⁶ is an apocalyptic number.

11166 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172).

11166 is a wasteful number, since it uses less digits than its factorization.

11166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866.

The product of its digits is 36, while the sum is 15.

The square root of 11166 is about 105.6692954457. The cubic root of 11166 is about 22.3511157599.

Adding to 11166 its reverse (66111), we get a palindrome (77277).

Subtracting 11166 from its reverse (66111), we obtain a palindrome (54945).

The spelling of 11166 in words is "eleven thousand, one hundred sixty-six".