171180 has 48 divisors (see below), whose sum is σ = 534240. Its totient is φ = 45504.

The previous prime is 171179. The next prime is 171203. The reversal of 171180 is 81171.

171180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

2¹⁷¹¹⁸⁰ is an apocalyptic number.

171180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267120).

171180 is an abundant number, since it is smaller than the sum of its proper divisors (363060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171180 is a wasteful number, since it uses less digits than its factorization.

171180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

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

The square root of 171180 is about 413.7390481934. The cubic root of 171180 is about 55.5244596351.

Subtracting from 171180 its reverse (81171), we obtain a palindrome (90009).

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

The spelling of 171180 in words is "one hundred seventy-one thousand, one hundred eighty".