19841 has 2 divisors, whose sum is σ = 19842. Its totient is φ = 19840.

The previous prime is 19819. The next prime is 19843. The reversal of 19841 is 14891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 9025 = 104^2 + 95^2 .

It is an emirp because it is prime and its reverse (14891) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19841 - 2⁶ = 19777 is a prime.

Together with 19843, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (19843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9920 + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (9921).

2¹⁹⁸⁴¹ is an apocalyptic number.

It is an amenable number.

19841 is a deficient number, since it is larger than the sum of its proper divisors (1).

19841 is an equidigital number, since it uses as much as digits as its factorization.

19841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 23.

The square root of 19841 is about 140.8580846100. The cubic root of 19841 is about 27.0720526327.

Subtracting from 19841 its reverse (14891), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 198 and 41, that multiplied together give a palindrome (8118).

The spelling of 19841 in words is "nineteen thousand, eight hundred forty-one".