131607 has 12 divisors (see below), whose sum is σ = 217360. Its totient is φ = 75168.

The previous prime is 131591. The next prime is 131611. The reversal of 131607 is 706131.

It is not a de Polignac number, because 131607 - 2⁴ = 131591 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 131607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982 + ... + 1107.

2¹³¹⁶⁰⁷ is an apocalyptic number.

131607 is a deficient number, since it is larger than the sum of its proper divisors (85753).

131607 is a wasteful number, since it uses less digits than its factorization.

131607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131607 is about 362.7767908784. The cubic root of 131607 is about 50.8658527625.

Adding to 131607 its reverse (706131), we get a palindrome (837738).

The spelling of 131607 in words is "one hundred thirty-one thousand, six hundred seven".