19893 has 8 divisors (see below), whose sum is σ = 28000. Its totient is φ = 12528.

The previous prime is 19891. The next prime is 19913. The reversal of 19893 is 39891.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 19893 - 2¹ = 19891 is a prime.

It is an Ulam number.

It is a Duffinian number.

19893 is a lucky number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 19893.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19893.

It is not an unprimeable number, because it can be changed into a prime (19891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (3500).

2¹⁹⁸⁹³ is an apocalyptic number.

It is an amenable number.

19893 is a deficient number, since it is larger than the sum of its proper divisors (8107).

19893 is a wasteful number, since it uses less digits than its factorization.

19893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its digits is 1944, while the sum is 30.

The square root of 19893 is about 141.0425467722. The cubic root of 19893 is about 27.0956824683.

The spelling of 19893 in words is "nineteen thousand, eight hundred ninety-three".