12137 has 4 divisors (see below), whose sum is σ = 12420. Its totient is φ = 11856.

The previous prime is 12119. The next prime is 12143. The reversal of 12137 is 73121.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10201 + 1936 = 101^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 12137 - 2⁶ = 12073 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12137.

It is not an unprimeable number, because it can be changed into a prime (12107) 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, 62 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (3105).

2¹²¹³⁷ is an apocalyptic number.

It is an amenable number.

12137 is a deficient number, since it is larger than the sum of its proper divisors (283).

12137 is an equidigital number, since it uses as much as digits as its factorization.

12137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its digits is 42, while the sum is 14.

The square root of 12137 is about 110.1680534456. The cubic root of 12137 is about 22.9810808502.

Adding to 12137 its reverse (73121), we get a palindrome (85258).

The spelling of 12137 in words is "twelve thousand, one hundred thirty-seven".