19824001 has 2 divisors, whose sum is σ = 19824002. Its totient is φ = 19824000.

The previous prime is 19823959. The next prime is 19824019. The reversal of 19824001 is 10042891.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19492225 + 331776 = 4415^2 + 576^2 .

It is a cyclic number.

It is not a de Polignac number, because 19824001 - 2¹¹ = 19821953 is a prime.

It is not a weakly prime, because it can be changed into another prime (19824061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9912000 + 9912001.

It is an arithmetic number, because the mean of its divisors is an integer number (9912001).

Almost surely, 2^19824001 is an apocalyptic number.

It is an amenable number.

19824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

19824001 is an equidigital number, since it uses as much as digits as its factorization.

19824001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 19824001 is about 4452.4151872888. The cubic root of 19824001 is about 270.6431899512.

Adding to 19824001 its reverse (10042891), we get a palindrome (29866892).

The spelling of 19824001 in words is "nineteen million, eight hundred twenty-four thousand, one".