180845 has 8 divisors (see below), whose sum is σ = 248064. Its totient is φ = 123984.

The previous prime is 180811. The next prime is 180847. The reversal of 180845 is 548081.

180845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 180845 - 2¹⁰ = 179821 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 (180847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2549 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (31008).

2¹⁸⁰⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

180845 is a deficient number, since it is larger than the sum of its proper divisors (67219).

180845 is an equidigital number, since it uses as much as digits as its factorization.

180845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 180845 is about 425.2587447661. The cubic root of 180845 is about 56.5503766637.

Subtracting 180845 from its reverse (548081), we obtain a square (367236 = 606²).

It can be divided in two parts, 180 and 845, that multiplied together give a square (152100 = 390²).

The spelling of 180845 in words is "one hundred eighty thousand, eight hundred forty-five".