180873 has 40 divisors (see below), whose sum is σ = 348480. Its totient is φ = 90720.

The previous prime is 180871. The next prime is 180883. The reversal of 180873 is 378081.

It is not a de Polignac number, because 180873 - 2¹ = 180871 is a prime.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180873.

It is not an unprimeable number, because it can be changed into a prime (180871) 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 39 ways as a sum of consecutive naturals, for example, 6223 + ... + 6251.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2¹⁸⁰⁸⁷³ is an apocalyptic number.

It is an amenable number.

180873 is a deficient number, since it is larger than the sum of its proper divisors (167607).

180873 is a wasteful number, since it uses less digits than its factorization.

180873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 180873 is about 425.2916646256. The cubic root of 180873 is about 56.5532950539.

It can be divided in two parts, 1808 and 73, that added together give a palindrome (1881).

The spelling of 180873 in words is "one hundred eighty thousand, eight hundred seventy-three".