19830 has 16 divisors (see below), whose sum is σ = 47664. Its totient is φ = 5280.

The previous prime is 19819. The next prime is 19841. The reversal of 19830 is 3891.

19830 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (19819) and next prime (19841).

It is an Ulam number.

19830 is strictly pandigital in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 19797 and 19806.

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 19830.

It is an unprimeable number.

19830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (2979).

2¹⁹⁸³⁰ is an apocalyptic number.

19830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19830 is an abundant number, since it is smaller than the sum of its proper divisors (27834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832).

19830 is a wasteful number, since it uses less digits than its factorization.

19830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19830 is about 140.8190328045. The cubic root of 19830 is about 27.0670487245.

The spelling of 19830 in words is "nineteen thousand, eight hundred thirty".