131763 has 8 divisors (see below), whose sum is σ = 177408. Its totient is φ = 86984.

The previous prime is 131759. The next prime is 131771. The reversal of 131763 is 367131.

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 131763 - 2² = 131759 is a prime.

It is a super-2 number, since 2×131763² = 34722976338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131713) 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, 370 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2¹³¹⁷⁶³ is an apocalyptic number.

131763 is a deficient number, since it is larger than the sum of its proper divisors (45645).

131763 is a wasteful number, since it uses less digits than its factorization.

131763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its digits is 378, while the sum is 21.

The square root of 131763 is about 362.9917354431. The cubic root of 131763 is about 50.8859427268.

Adding to 131763 its reverse (367131), we get a palindrome (498894).

The spelling of 131763 in words is "one hundred thirty-one thousand, seven hundred sixty-three".