19392 has 28 divisors (see below), whose sum is σ = 51816. Its totient is φ = 6400.

The previous prime is 19391. The next prime is 19403. The reversal of 19392 is 29391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19391) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 242.

19392 is a Friedman number, since it can be written as 3^9-291, using all its digits and the basic arithmetic operations.

2¹⁹³⁹² is an apocalyptic number.

19392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908).

19392 is an abundant number, since it is smaller than the sum of its proper divisors (32424).

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

19392 is a wasteful number, since it uses less digits than its factorization.

19392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 19392 is about 139.2551614842. The cubic root of 19392 is about 26.8662798462.

19392 divided by its sum of digits (24) gives a palindrome (808).

Subtracting 19392 from its reverse (29391), we obtain a palindrome (9999).

The spelling of 19392 in words is "nineteen thousand, three hundred ninety-two".