171968 has 14 divisors (see below), whose sum is σ = 341376. Its totient is φ = 85952.

The previous prime is 171947. The next prime is 172001. The reversal of 171968 is 869171.

171968 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 (32).

It is a congruent number.

It is an unprimeable number.

171968 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 as a sum of consecutive naturals, namely, 1280 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2¹⁷¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

171968 is a deficient number, since it is larger than the sum of its proper divisors (169408).

171968 is an equidigital number, since it uses as much as digits as its factorization.

171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2689 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 171968 is about 414.6902458462. The cubic root of 171968 is about 55.6095285845.

The spelling of 171968 in words is "one hundred seventy-one thousand, nine hundred sixty-eight".