180173 has 6 divisors (see below), whose sum is σ = 209646. Its totient is φ = 154392.

The previous prime is 180161. The next prime is 180179. The reversal of 180173 is 371081.

It can be written as a sum of positive squares in only one way, i.e., 170569 + 9604 = 413^2 + 98^2 .

It is not a de Polignac number, because 180173 - 2⁸ = 179917 is a prime.

It is a Duffinian number.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 1790 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (34941).

2¹⁸⁰¹⁷³ is an apocalyptic number.

It is an amenable number.

180173 is a deficient number, since it is larger than the sum of its proper divisors (29473).

180173 is an equidigital number, since it uses as much as digits as its factorization.

180173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3684 counting only the distinct ones).

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

The square root of 180173 is about 424.4679022023. The cubic root of 180173 is about 56.4802447445.

It can be divided in two parts, 180 and 173, that added together give a palindrome (353).

The spelling of 180173 in words is "one hundred eighty thousand, one hundred seventy-three".