18873 has 10 divisors (see below), whose sum is σ = 28314. Its totient is φ = 12528.

The previous prime is 18869. The next prime is 18899. The reversal of 18873 is 37881.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 5184 = 117^2 + 72^2 .

It is not a de Polignac number, because 18873 - 2² = 18869 is a prime.

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

It is a Curzon number.

18873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (18803) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36 + ... + 197.

2¹⁸⁸⁷³ is an apocalyptic number.

It is an amenable number.

18873 is a deficient number, since it is larger than the sum of its proper divisors (9441).

18873 is an equidigital number, since it uses as much as digits as its factorization.

18873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

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

The square root of 18873 is about 137.3790377023. The cubic root of 18873 is about 26.6244296644.

The spelling of 18873 in words is "eighteen thousand, eight hundred seventy-three".