19401 has 8 divisors (see below), whose sum is σ = 26880. Its totient is φ = 12432.

The previous prime is 19391. The next prime is 19403. The reversal of 19401 is 10491.

19401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 19401 - 2⁷ = 19273 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2¹⁹⁴⁰¹ is an apocalyptic number.

It is an amenable number.

19401 is a deficient number, since it is larger than the sum of its proper divisors (7479).

19401 is a wasteful number, since it uses less digits than its factorization.

19401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 19401 is about 139.2874725164. The cubic root of 19401 is about 26.8704354967.

Adding to 19401 its reverse (10491), we get a palindrome (29892).

The spelling of 19401 in words is "nineteen thousand, four hundred one".