171666 has 48 divisors (see below), whose sum is σ = 442080. Its totient is φ = 48960.

The previous prime is 171659. The next prime is 171671. The reversal of 171666 is 666171.

171666 is nontrivially palindromic in base 16.

171666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1512) is a multiple of the sum of its prime factors (56).

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 171666.

It is an unprimeable number.

171666 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 23 ways as a sum of consecutive naturals, for example, 10090 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

2¹⁷¹⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221040).

171666 is an abundant number, since it is smaller than the sum of its proper divisors (270414).

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

171666 is a wasteful number, since it uses less digits than its factorization.

171666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 171666 is about 414.3259586364. The cubic root of 171666 is about 55.5769567917.

The spelling of 171666 in words is "one hundred seventy-one thousand, six hundred sixty-six".