19844 has 18 divisors (see below), whose sum is σ = 39102. Its totient is φ = 8800.

The previous prime is 19843. The next prime is 19853. The reversal of 19844 is 44891.

19844 = T₃₁ + T₃₂ + ... + T₅₂.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 7744 = 110^2 + 88^2 .

It is a plaindrome in base 5 and base 7.

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 19844.

It is not an unprimeable number, because it can be changed into a prime (19841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464 + ... + 504.

2¹⁹⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

19844 is a deficient number, since it is larger than the sum of its proper divisors (19258).

19844 is a wasteful number, since it uses less digits than its factorization.

19844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 19844 is about 140.8687332235. The cubic root of 19844 is about 27.0734170140.

It can be divided in two parts, 198 and 44, that added together give a palindrome (242).

The spelling of 19844 in words is "nineteen thousand, eight hundred forty-four".