171671 has 2 divisors, whose sum is σ = 171672. Its totient is φ = 171670.

The previous prime is 171659. The next prime is 171673. The reversal of 171671 is 176171.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 171671 - 2¹⁰ = 170647 is a prime.

Together with 171673, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₅₆₃₈ and since 171671 and 15638 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (171673) 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, 85835 + 85836.

It is an arithmetic number, because the mean of its divisors is an integer number (85836).

2¹⁷¹⁶⁷¹ is an apocalyptic number.

171671 is a deficient number, since it is larger than the sum of its proper divisors (1).

171671 is an equidigital number, since it uses as much as digits as its factorization.

171671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294, while the sum is 23.

The square root of 171671 is about 414.3319924891. The cubic root of 171671 is about 55.5774963707.

The spelling of 171671 in words is "one hundred seventy-one thousand, six hundred seventy-one".