8171 has 2 divisors, whose sum is σ = 8172. Its totient is φ = 8170.

The previous prime is 8167. The next prime is 8179. The reversal of 8171 is 1718.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8171 - 2² = 8167 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8171.

It is not a weakly prime, because it can be changed into another prime (8179) 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 as a sum of consecutive naturals, namely, 4085 + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (4086).

2⁸¹⁷¹ is an apocalyptic number.

8171 is a deficient number, since it is larger than the sum of its proper divisors (1).

8171 is an equidigital number, since it uses as much as digits as its factorization.

8171 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56, while the sum is 17.

The square root of 8171 is about 90.3935838431. The cubic root of 8171 is about 20.1414965752.

Adding to 8171 its reverse (1718), we get a palindrome (9889).

It can be divided in two parts, 817 and 1, that added together give a palindrome (818).

The spelling of 8171 in words is "eight thousand, one hundred seventy-one".