131867 has 4 divisors (see below), whose sum is σ = 132840. Its totient is φ = 130896.

The previous prime is 131861. The next prime is 131891. The reversal of 131867 is 768131.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 131867 - 2⁸ = 131611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131861) 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 in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2¹³¹⁸⁶⁷ is an apocalyptic number.

131867 is a deficient number, since it is larger than the sum of its proper divisors (973).

131867 is an equidigital number, since it uses as much as digits as its factorization.

131867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972.

The product of its digits is 1008, while the sum is 26.

The square root of 131867 is about 363.1349611370. The cubic root of 131867 is about 50.8993272285.

Subtracting from 131867 its sum of digits (26), we obtain a triangular number (131841 = T₅₁₃).

Adding to 131867 its reverse (768131), we get a palindrome (899998).

The spelling of 131867 in words is "one hundred thirty-one thousand, eight hundred sixty-seven".