180009 has 16 divisors (see below), whose sum is σ = 273600. Its totient is φ = 116928.

The previous prime is 180007. The next prime is 180023. The reversal of 180009 is 900081.

It is not a de Polignac number, because 180009 - 2¹ = 180007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 179973 and 180000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2¹⁸⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

180009 is a deficient number, since it is larger than the sum of its proper divisors (93591).

180009 is a wasteful number, since it uses less digits than its factorization.

180009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 180009 is about 424.2746751811. The cubic root of 180009 is about 56.4631027532.

Adding to 180009 its product of nonzero digits (72), we get a palindrome (180081).

The spelling of 180009 in words is "one hundred eighty thousand, nine".