131767 has 8 divisors (see below), whose sum is σ = 146016. Its totient is φ = 118272.

The previous prime is 131759. The next prime is 131771. The reversal of 131767 is 767131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131767 - 2³ = 131759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (18252).

2¹³¹⁷⁶⁷ is an apocalyptic number.

131767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131767 is a deficient number, since it is larger than the sum of its proper divisors (14249).

131767 is a wasteful number, since it uses less digits than its factorization.

131767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its digits is 882, while the sum is 25.

The square root of 131767 is about 362.9972451686. The cubic root of 131767 is about 50.8864576456.

Adding to 131767 its reverse (767131), we get a palindrome (898898).

It can be divided in two parts, 131 and 767, that added together give a palindrome (898).

The spelling of 131767 in words is "one hundred thirty-one thousand, seven hundred sixty-seven".