19001 has 2 divisors, whose sum is σ = 19002. Its totient is φ = 19000.

The previous prime is 18979. The next prime is 19009. The reversal of 19001 is 10091.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 5776 = 115^2 + 76^2 .

It is an emirp because it is prime and its reverse (10091) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10061 and 16001.

It is a cyclic number.

It is not a de Polignac number, because 19001 - 2¹⁰ = 17977 is a prime.

It is a super-2 number, since 2×19001² = 722076002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (19009) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9500 + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (9501).

2¹⁹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

19001 is a deficient number, since it is larger than the sum of its proper divisors (1).

19001 is an equidigital number, since it uses as much as digits as its factorization.

19001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 19001 is about 137.8441148544. The cubic root of 19001 is about 26.6844846196.

Adding to 19001 its reverse (10091), we get a palindrome (29092).

The spelling of 19001 in words is "nineteen thousand, one".