180549 has 12 divisors (see below), whose sum is σ = 270816. Its totient is φ = 120204.

The previous prime is 180547. The next prime is 180563. The reversal of 180549 is 945081.

It is not a de Polignac number, because 180549 - 2¹ = 180547 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

180549 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180549.

It is not an unprimeable number, because it can be changed into a prime (180541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2¹⁸⁰⁵⁴⁹ is an apocalyptic number.

It is an amenable number.

180549 is a deficient number, since it is larger than the sum of its proper divisors (90267).

180549 is an frugal number, since it uses more digits than its factorization.

180549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 180549 is about 424.9105788281. The cubic root of 180549 is about 56.5195066694.

It can be divided in two parts, 180 and 549, that added together give a 6-th power (729 = 3⁶).

The spelling of 180549 in words is "one hundred eighty thousand, five hundred forty-nine".