13337 has 2 divisors, whose sum is σ = 13338. Its totient is φ = 13336.

The previous prime is 13331. The next prime is 13339. The reversal of 13337 is 73331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10201 + 3136 = 101^2 + 56^2 .

It is an emirp because it is prime and its reverse (73331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13337 - 2¹² = 9241 is a prime.

Together with 13339, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 1 + 3⁷ + 3⁷ + 3⁸ + 7⁴ .

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (13331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6668 + 6669.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2¹³³³⁷ is an apocalyptic number.

It is an amenable number.

13337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13337 is an equidigital number, since it uses as much as digits as its factorization.

13337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 189, while the sum is 17.

The square root of 13337 is about 115.4859298789. The cubic root of 13337 is about 23.7147954877.

Adding to 13337 its reverse (73331), we get a palindrome (86668).

The spelling of 13337 in words is "thirteen thousand, three hundred thirty-seven".