19638 has 12 divisors (see below), whose sum is σ = 42588. Its totient is φ = 6540.

The previous prime is 19609. The next prime is 19661. The reversal of 19638 is 83691.

19638 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2¹⁹⁶³⁸ is an apocalyptic number.

19638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

19638 is an abundant number, since it is smaller than the sum of its proper divisors (22950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19638 is a wasteful number, since it uses less digits than its factorization.

19638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1096 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 19638 is about 140.1356485695. The cubic root of 19638 is about 26.9794081677.

The spelling of 19638 in words is "nineteen thousand, six hundred thirty-eight".