18073 has 8 divisors (see below), whose sum is σ = 20736. Its totient is φ = 15600.

The previous prime is 18061. The next prime is 18077. The reversal of 18073 is 37081.

18073 is digitally balanced in base 3, 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 a cyclic number.

It is not a de Polignac number, because 18073 - 2⁵ = 18041 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 18073.

It is not an unprimeable number, because it can be changed into a prime (18077) 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 7 ways as a sum of consecutive naturals, for example, 315 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2¹⁸⁰⁷³ is an apocalyptic number.

It is an amenable number.

18073 is a deficient number, since it is larger than the sum of its proper divisors (2663).

18073 is a wasteful number, since it uses less digits than its factorization.

18073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 18073 is about 134.4358583117. The cubic root of 18073 is about 26.2427946966.

It can be divided in two parts, 180 and 73, that added together give a triangular number (253 = T₂₂).

The spelling of 18073 in words is "eighteen thousand, seventy-three".