83166 has 16 divisors (see below), whose sum is σ = 169344. Its totient is φ = 27224.

The previous prime is 83137. The next prime is 83177. The reversal of 83166 is 66138.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁸³¹⁶⁶ is an apocalyptic number.

83166 is an abundant number, since it is smaller than the sum of its proper divisors (86178).

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 (84672).

83166 is a wasteful number, since it uses less digits than its factorization.

83166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

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

The square root of 83166 is about 288.3851591188. The cubic root of 83166 is about 43.6497678202.

The spelling of 83166 in words is "eighty-three thousand, one hundred sixty-six".