19793 has 2 divisors, whose sum is σ = 19794. Its totient is φ = 19792.

The previous prime is 19777. The next prime is 19801. The reversal of 19793 is 39791.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18769 + 1024 = 137^2 + 32^2 .

It is an emirp because it is prime and its reverse (39791) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19793 - 2⁴ = 19777 is a prime.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19793.

It is not a weakly prime, because it can be changed into another prime (19753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9896 + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (9897).

2¹⁹⁷⁹³ is an apocalyptic number.

It is an amenable number.

19793 is a deficient number, since it is larger than the sum of its proper divisors (1).

19793 is an equidigital number, since it uses as much as digits as its factorization.

19793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 29.

The square root of 19793 is about 140.6875971790. The cubic root of 19793 is about 27.0502038040.

The spelling of 19793 in words is "nineteen thousand, seven hundred ninety-three".