131765 has 12 divisors (see below), whose sum is σ = 169164. Its totient is φ = 98496.

The previous prime is 131759. The next prime is 131771. The reversal of 131765 is 567131.

Added to its reverse (567131) it gives a square (698896 = 836²).

It is an interprime number because it is at equal distance from previous prime (131759) and next prime (131771).

It can be written as a sum of positive squares in 2 ways, for example, as 61009 + 70756 = 247^2 + 266^2 .

It is not a de Polignac number, because 131765 - 2⁴ = 131749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131765.

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 131765.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 1769 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (14097).

2¹³¹⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

131765 is a deficient number, since it is larger than the sum of its proper divisors (37399).

131765 is an equidigital number, since it uses as much as digits as its factorization.

131765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 131765 is about 362.9944903163. The cubic root of 131765 is about 50.8862001875.

Adding to 131765 its reverse (567131), we get a palindrome (698896).

The spelling of 131765 in words is "one hundred thirty-one thousand, seven hundred sixty-five".