131877 has 6 divisors (see below), whose sum is σ = 190502. Its totient is φ = 87912.

The previous prime is 131861. The next prime is 131891. The reversal of 131877 is 778131.

131877 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 6561 = 354^2 + 81^2 .

It is not a de Polignac number, because 131877 - 2⁴ = 131861 is a prime.

It is a Duffinian number.

131877 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 131877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7318 + ... + 7335.

2¹³¹⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

131877 is a deficient number, since it is larger than the sum of its proper divisors (58625).

131877 is a wasteful number, since it uses less digits than its factorization.

131877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659 (or 14656 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 131877 is about 363.1487298615. The cubic root of 131877 is about 50.9006138289.

It can be divided in two parts, 1 and 31877, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 131877 in words is "one hundred thirty-one thousand, eight hundred seventy-seven".