19838 has 16 divisors (see below), whose sum is σ = 36960. Its totient is φ = 7776.

The previous prime is 19819. The next prime is 19841. The reversal of 19838 is 83891.

It is a happy number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 19838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2¹⁹⁸³⁸ is an apocalyptic number.

19838 is a deficient number, since it is larger than the sum of its proper divisors (17122).

19838 is a wasteful number, since it uses less digits than its factorization.

19838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131.

The product of its digits is 1728, while the sum is 29.

The square root of 19838 is about 140.8474351914. The cubic root of 19838 is about 27.0706881140.

It can be divided in two parts, 1983 and 8, that added together give a palindrome (1991).

The spelling of 19838 in words is "nineteen thousand, eight hundred thirty-eight".