197792 has 24 divisors (see below), whose sum is σ = 445536. Its totient is φ = 84672.

The previous prime is 197779. The next prime is 197803. The reversal of 197792 is 297791.

197792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

197792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2¹⁹⁷⁷⁹² is an apocalyptic number.

It is an amenable number.

197792 is an abundant number, since it is smaller than the sum of its proper divisors (247744).

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

197792 is an equidigital number, since it uses as much as digits as its factorization.

197792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its digits is 7938, while the sum is 35.

The square root of 197792 is about 444.7381251928. The cubic root of 197792 is about 58.2643502009.

Subtracting 197792 from its reverse (297791), we obtain a palindrome (99999).

It can be divided in two parts, 197 and 792, that added together give a palindrome (989).

The spelling of 197792 in words is "one hundred ninety-seven thousand, seven hundred ninety-two".