131792 has 10 divisors (see below), whose sum is σ = 255378. Its totient is φ = 65888.

The previous prime is 131783. The next prime is 131797. The reversal of 131792 is 297131.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 13456 = 344^2 + 116^2 .

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 131792.

It is not an unprimeable number, because it can be changed into a prime (131797) by changing a digit.

131792 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 as a sum of consecutive naturals, namely, 4103 + ... + 4134.

2¹³¹⁷⁹² is an apocalyptic number.

It is an amenable number.

131792 is a deficient number, since it is larger than the sum of its proper divisors (123586).

131792 is an equidigital number, since it uses as much as digits as its factorization.

131792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8239 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 131792 is about 363.0316790585. The cubic root of 131792 is about 50.8896756516.

Subtracting from 131792 its sum of digits (23), we obtain a square (131769 = 363²).

The spelling of 131792 in words is "one hundred thirty-one thousand, seven hundred ninety-two".