171971 has 4 divisors (see below), whose sum is σ = 179472. Its totient is φ = 164472.

The previous prime is 171947. The next prime is 172001. The reversal of 171971 is 179171.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 179171 = 139 ⋅1289.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-171971 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 171971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3716 + ... + 3761.

It is an arithmetic number, because the mean of its divisors is an integer number (44868).

2¹⁷¹⁹⁷¹ is an apocalyptic number.

171971 is a deficient number, since it is larger than the sum of its proper divisors (7501).

171971 is an equidigital number, since it uses as much as digits as its factorization.

171971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500.

The product of its digits is 441, while the sum is 26.

The square root of 171971 is about 414.6938629881. The cubic root of 171971 is about 55.6098519540.

The spelling of 171971 in words is "one hundred seventy-one thousand, nine hundred seventy-one".