19792 has 10 divisors (see below), whose sum is σ = 38378. Its totient is φ = 9888.

The previous prime is 19777. The next prime is 19793. The reversal of 19792 is 29791.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 1296 = 136^2 + 36^2 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 19792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19793) by changing a digit.

19792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 603 + ... + 634.

2¹⁹⁷⁹² is an apocalyptic number.

It is an amenable number.

19792 is a deficient number, since it is larger than the sum of its proper divisors (18586).

19792 is a wasteful number, since it uses less digits than its factorization.

19792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 19792 is about 140.6840431606. The cubic root of 19792 is about 27.0497482446.

Subtracting 19792 from its reverse (29791), we obtain a palindrome (9999).

It can be divided in two parts, 197 and 92, that added together give a square (289 = 17²).

The spelling of 19792 in words is "nineteen thousand, seven hundred ninety-two".