180169 has 6 divisors (see below), whose sum is σ = 198170. Its totient is φ = 163680.

The previous prime is 180161. The next prime is 180179. The reversal of 180169 is 961081.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 48400 = 363^2 + 220^2 .

It is not a de Polignac number, because 180169 - 2³ = 180161 is a prime.

It is a super-2 number, since 2×180169² = 64921737122, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 624 + ... + 865.

2¹⁸⁰¹⁶⁹ is an apocalyptic number.

It is an amenable number.

180169 is a deficient number, since it is larger than the sum of its proper divisors (18001).

180169 is a wasteful number, since it uses less digits than its factorization.

180169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 180169 is about 424.4631903946. The cubic root of 180169 is about 56.4798267709.

The spelling of 180169 in words is "one hundred eighty thousand, one hundred sixty-nine".