131764 has 6 divisors (see below), whose sum is σ = 230594. Its totient is φ = 65880.

The previous prime is 131759. The next prime is 131771. The reversal of 131764 is 467131.

It can be written as a sum of positive squares in only one way, i.e., 128164 + 3600 = 358^2 + 60^2 .

It is a congruent number.

It is an unprimeable number.

131764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16467 + ... + 16474.

2¹³¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

131764 is a deficient number, since it is larger than the sum of its proper divisors (98830).

131764 is a wasteful number, since it uses less digits than its factorization.

131764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32945 (or 32943 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 131764 is about 362.9931128823. The cubic root of 131764 is about 50.8860714575.

Adding to 131764 its reverse (467131), we get a palindrome (598895).

The spelling of 131764 in words is "one hundred thirty-one thousand, seven hundred sixty-four".