171980 has 12 divisors (see below), whose sum is σ = 361200. Its totient is φ = 68784.

The previous prime is 171947. The next prime is 172001. The reversal of 171980 is 89171.

171980 is nontrivially palindromic in base 12 and base 14.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 4280 + ... + 4319.

It is an arithmetic number, because the mean of its divisors is an integer number (30100).

2¹⁷¹⁹⁸⁰ is an apocalyptic number.

171980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171980 is an abundant number, since it is smaller than the sum of its proper divisors (189220).

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

171980 is a wasteful number, since it uses less digits than its factorization.

171980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 171980 is about 414.7047142245. The cubic root of 171980 is about 55.6108220399.

The spelling of 171980 in words is "one hundred seventy-one thousand, nine hundred eighty".