195792 has 20 divisors (see below), whose sum is σ = 505920. Its totient is φ = 65248.

The previous prime is 195791. The next prime is 195809. The reversal of 195792 is 297591.

195792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195792.

It is not an unprimeable number, because it can be changed into a prime (195791) 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, 1992 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2¹⁹⁵⁷⁹² is an apocalyptic number.

195792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195792 is an abundant number, since it is smaller than the sum of its proper divisors (310128).

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

195792 is a wasteful number, since it uses less digits than its factorization.

195792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4084 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 195792 is about 442.4838980121. The cubic root of 195792 is about 58.0673019770.

The spelling of 195792 in words is "one hundred ninety-five thousand, seven hundred ninety-two".