131677 has 8 divisors (see below), whose sum is σ = 162176. Its totient is φ = 104112.

The previous prime is 131671. The next prime is 131687. The reversal of 131677 is 776131.

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 131677 - 2¹¹ = 129629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131671) 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 7 ways as a sum of consecutive naturals, for example, 633 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (20272).

2¹³¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

131677 is a deficient number, since it is larger than the sum of its proper divisors (30499).

131677 is a wasteful number, since it uses less digits than its factorization.

131677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

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

The square root of 131677 is about 362.8732561102. The cubic root of 131677 is about 50.8748694525.

It can be divided in two parts, 131 and 677, that added together give a palindrome (808).

The spelling of 131677 in words is "one hundred thirty-one thousand, six hundred seventy-seven".