18673 has 4 divisors (see below), whose sum is σ = 19008. Its totient is φ = 18340.

The previous prime is 18671. The next prime is 18679. The reversal of 18673 is 37681.

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.

It is a cyclic number.

It is not a de Polignac number, because 18673 - 2¹ = 18671 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (18671) 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 3 ways as a sum of consecutive naturals, for example, 61 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

2¹⁸⁶⁷³ is an apocalyptic number.

It is an amenable number.

18673 is a deficient number, since it is larger than the sum of its proper divisors (335).

18673 is an equidigital number, since it uses as much as digits as its factorization.

18673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 1008, while the sum is 25.

The square root of 18673 is about 136.6491858739. The cubic root of 18673 is about 26.5300477962.

The spelling of 18673 in words is "eighteen thousand, six hundred seventy-three".