180589 has 4 divisors (see below), whose sum is σ = 181440. Its totient is φ = 179740.

The previous prime is 180569. The next prime is 180617. The reversal of 180589 is 985081.

180589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 985081 = 257 ⋅3833.

It is a cyclic number.

It is not a de Polignac number, because 180589 - 2⁹ = 180077 is a prime.

It is a super-2 number, since 2×180589² = 65224773842, which contains 22 as substring.

It is a Duffinian number.

180589 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2¹⁸⁰⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

180589 is a deficient number, since it is larger than the sum of its proper divisors (851).

180589 is an equidigital number, since it uses as much as digits as its factorization.

180589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 180589 is about 424.9576449483. The cubic root of 180589 is about 56.5236802609.

The spelling of 180589 in words is "one hundred eighty thousand, five hundred eighty-nine".