180171 has 8 divisors (see below), whose sum is σ = 266960. Its totient is φ = 120096.

The previous prime is 180161. The next prime is 180179. The reversal of 180171 is 171081.

It is not a de Polignac number, because 180171 - 2⁷ = 180043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (33370).

2¹⁸⁰¹⁷¹ is an apocalyptic number.

180171 is a deficient number, since it is larger than the sum of its proper divisors (86789).

180171 is an equidigital number, since it uses as much as digits as its factorization.

180171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 180171 is about 424.4655463050. The cubic root of 180171 is about 56.4800357585.

It can be divided in two parts, 180 and 171, that added together give a triangular number (351 = T₂₆).

The spelling of 180171 in words is "one hundred eighty thousand, one hundred seventy-one".