171917 has 2 divisors, whose sum is σ = 171918. Its totient is φ = 171916.

The previous prime is 171889. The next prime is 171923. The reversal of 171917 is 719171.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139876 + 32041 = 374^2 + 179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-171917 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 171917.

It is not a weakly prime, because it can be changed into another prime (171937) 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, 85958 + 85959.

It is an arithmetic number, because the mean of its divisors is an integer number (85959).

2¹⁷¹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

171917 is a deficient number, since it is larger than the sum of its proper divisors (1).

171917 is an equidigital number, since it uses as much as digits as its factorization.

171917 is an odious number, because the sum of its binary digits is odd.

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

The square root of 171917 is about 414.6287496062. The cubic root of 171917 is about 55.6040307276.

The spelling of 171917 in words is "one hundred seventy-one thousand, nine hundred seventeen".