19753 has 2 divisors, whose sum is σ = 19754. Its totient is φ = 19752.

The previous prime is 19751. The next prime is 19759. The reversal of 19753 is 35791.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 4624 = 123^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 19753 - 2¹ = 19751 is a prime.

Together with 19751, it forms a pair of twin primes.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (19751) 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, 9876 + 9877.

It is an arithmetic number, because the mean of its divisors is an integer number (9877).

2¹⁹⁷⁵³ is an apocalyptic number.

It is an amenable number.

19753 is a deficient number, since it is larger than the sum of its proper divisors (1).

19753 is an equidigital number, since it uses as much as digits as its factorization.

19753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 25.

The square root of 19753 is about 140.5453663413. The cubic root of 19753 is about 27.0319694475.

The spelling of 19753 in words is "nineteen thousand, seven hundred fifty-three".