8166 has 8 divisors (see below), whose sum is σ = 16344. Its totient is φ = 2720.

The previous prime is 8161. The next prime is 8167. The reversal of 8166 is 6618.

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

8166 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161) by changing a digit.

8166 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, 675 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (2043).

2⁸¹⁶⁶ is an apocalyptic number.

8166 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 (8172).

8166 is a wasteful number, since it uses less digits than its factorization.

8166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366.

The product of its digits is 288, while the sum is 21.

The square root of 8166 is about 90.3659227807. The cubic root of 8166 is about 20.1373874073.

The spelling of 8166 in words is "eight thousand, one hundred sixty-six".