171966 has 8 divisors (see below), whose sum is σ = 343944. Its totient is φ = 57320.

The previous prime is 171947. The next prime is 172001. The reversal of 171966 is 669171.

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

171966 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

171966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14325 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (42993).

2¹⁷¹⁹⁶⁶ is an apocalyptic number.

171966 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.

171966 is a wasteful number, since it uses less digits than its factorization.

171966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666.

The product of its digits is 2268, while the sum is 30.

The square root of 171966 is about 414.6878344008. The cubic root of 171966 is about 55.6093130027.

The spelling of 171966 in words is "one hundred seventy-one thousand, nine hundred sixty-six".