171641 has 2 divisors, whose sum is σ = 171642. Its totient is φ = 171640.

The previous prime is 171637. The next prime is 171653. The reversal of 171641 is 146171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133225 + 38416 = 365^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 171641 - 2² = 171637 is a prime.

It is a Chen prime.

It is equal to p₁₅₆₃₅ and since 171641 and 15635 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (171671) 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, 85820 + 85821.

It is an arithmetic number, because the mean of its divisors is an integer number (85821).

2¹⁷¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

171641 is a deficient number, since it is larger than the sum of its proper divisors (1).

171641 is an equidigital number, since it uses as much as digits as its factorization.

171641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 20.

The square root of 171641 is about 414.2957880549. The cubic root of 171641 is about 55.5742587398.

The spelling of 171641 in words is "one hundred seventy-one thousand, six hundred forty-one".