19873 has 8 divisors (see below), whose sum is σ = 24192. Its totient is φ = 15936.

The previous prime is 19867. The next prime is 19889. The reversal of 19873 is 37891.

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 19873 - 2⁵ = 19841 is a prime.

It is a super-2 number, since 2×19873² = 789872258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19813) 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, 36 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2¹⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

19873 is a deficient number, since it is larger than the sum of its proper divisors (4319).

19873 is a wasteful number, since it uses less digits than its factorization.

19873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 1512, while the sum is 28.

The square root of 19873 is about 140.9716283512. The cubic root of 19873 is about 27.0865989488.

The spelling of 19873 in words is "nineteen thousand, eight hundred seventy-three".