131631 has 16 divisors (see below), whose sum is σ = 194400. Its totient is φ = 78848.

The previous prime is 131627. The next prime is 131639. The reversal of 131631 is 136131.

It is a cyclic number.

It is not a de Polignac number, because 131631 - 2² = 131627 is a prime.

It is a super-2 number, since 2×131631² = 34653440322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131639) 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 15 ways as a sum of consecutive naturals, for example, 1435 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹³¹⁶³¹ is an apocalyptic number.

131631 is a deficient number, since it is larger than the sum of its proper divisors (62769).

131631 is a wasteful number, since it uses less digits than its factorization.

131631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 54, while the sum is 15.

The square root of 131631 is about 362.8098675615. The cubic root of 131631 is about 50.8689445592.

Adding to 131631 its reverse (136131), we get a palindrome (267762).

The spelling of 131631 in words is "one hundred thirty-one thousand, six hundred thirty-one".