131663 has 6 divisors (see below), whose sum is σ = 153216. Its totient is φ = 112812.

The previous prime is 131641. The next prime is 131671. The reversal of 131663 is 366131.

It is not a de Polignac number, because 131663 - 2¹⁰ = 130639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131063) 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 5 ways as a sum of consecutive naturals, for example, 1295 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2¹³¹⁶⁶³ is an apocalyptic number.

131663 is a deficient number, since it is larger than the sum of its proper divisors (21553).

131663 is an equidigital number, since it uses as much as digits as its factorization.

131663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 131663 is about 362.8539651154. The cubic root of 131663 is about 50.8730663702.

Adding to 131663 its reverse (366131), we get a palindrome (497794).

The spelling of 131663 in words is "one hundred thirty-one thousand, six hundred sixty-three".