12737 has 4 divisors (see below), whose sum is σ = 13056. Its totient is φ = 12420.

The previous prime is 12721. The next prime is 12739. The reversal of 12737 is 73721.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12737 - 2⁴ = 12721 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12737.

It is not an unprimeable number, because it can be changed into a prime (12739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (3264).

2¹²⁷³⁷ is an apocalyptic number.

It is an amenable number.

12737 is a deficient number, since it is larger than the sum of its proper divisors (319).

12737 is an equidigital number, since it uses as much as digits as its factorization.

12737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its digits is 294, while the sum is 20.

The square root of 12737 is about 112.8583182579. The cubic root of 12737 is about 23.3537010367.

Adding to 12737 its product of digits (294), we get a palindrome (13031).

It can be divided in two parts, 1273 and 7, that multiplied together give a triangular number (8911 = T₁₃₃).

The spelling of 12737 in words is "twelve thousand, seven hundred thirty-seven".