38166 has 8 divisors (see below), whose sum is σ = 76344. Its totient is φ = 12720.

The previous prime is 38153. The next prime is 38167. The reversal of 38166 is 66183.

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

38166 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3175 + ... + 3186.

It is an arithmetic number, because the mean of its divisors is an integer number (9543).

2³⁸¹⁶⁶ is an apocalyptic number.

38166 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 (38172).

38166 is a wasteful number, since it uses less digits than its factorization.

38166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366.

The product of its digits is 864, while the sum is 24.

The square root of 38166 is about 195.3612039275. The cubic root of 38166 is about 33.6686380355.

The spelling of 38166 in words is "thirty-eight thousand, one hundred sixty-six".