2166 has 12 divisors (see below), whose sum is σ = 4572. Its totient is φ = 684.

The previous prime is 2161. The next prime is 2179. The reversal of 2166 is 6612.

Added to its reverse (6612) it gives a triangular number (8778 = T_{132}).

2166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2166 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (72) is a multiple of the sum of its prime divisors (24).

It is a plaindrome in base 11.

It is a nialpdrome in base 13, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (381).

2166 is an abundant number, since it is smaller than the sum of its proper divisors (2406).

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 (2286).

2166 is a wasteful number, since it uses less digits than its factorization.

2166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 2166 is about 46.5403051129. The cubic root of 2166 is about 12.9385661564.

Adding to 2166 its reverse (6612), we get a palindrome (8778).

It can be divided in two parts, 216 and 6, that multiplied together give a 4-th power (1296 = 6^{4}).

The spelling of 2166 in words is "two thousand, one hundred sixty-six".

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