131797 has 2 divisors, whose sum is σ = 131798. Its totient is φ = 131796.

The previous prime is 131783. The next prime is 131837. The reversal of 131797 is 797131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128881 + 2916 = 359^2 + 54^2 .

It is an emirp because it is prime and its reverse (797131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131797 - 2¹¹ = 129749 is a prime.

It is a Chen prime.

131797 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65898 + 65899.

It is an arithmetic number, because the mean of its divisors is an integer number (65899).

2¹³¹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

131797 is a deficient number, since it is larger than the sum of its proper divisors (1).

131797 is an equidigital number, since it uses as much as digits as its factorization.

131797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1323, while the sum is 28.

The square root of 131797 is about 363.0385654445. The cubic root of 131797 is about 50.8903192039.

Subtracting from 131797 its sum of digits (28), we obtain a square (131769 = 363²).

The spelling of 131797 in words is "one hundred thirty-one thousand, seven hundred ninety-seven".