171673 has 2 divisors, whose sum is σ = 171674. Its totient is φ = 171672.

The previous prime is 171671. The next prime is 171679. The reversal of 171673 is 376171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 21904 = 387^2 + 148^2 .

It is an emirp because it is prime and its reverse (376171) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 171673 - 2¹ = 171671 is a prime.

It is a super-5 number, since 5×171673⁵ (a number of 27 digits) contains 55555 as substring.

Together with 171671, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (171671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85836 + 85837.

It is an arithmetic number, because the mean of its divisors is an integer number (85837).

2¹⁷¹⁶⁷³ is an apocalyptic number.

It is an amenable number.

171673 is a deficient number, since it is larger than the sum of its proper divisors (1).

171673 is an equidigital number, since it uses as much as digits as its factorization.

171673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 25.

The square root of 171673 is about 414.3344060056. The cubic root of 171673 is about 55.5777121994.

It can be divided in two parts, 17 and 1673, that multiplied together give a triangular number (28441 = T₂₃₈).

The spelling of 171673 in words is "one hundred seventy-one thousand, six hundred seventy-three".