13638337 has 2 divisors, whose sum is σ = 13638338. Its totient is φ = 13638336.

The previous prime is 13638329. The next prime is 13638341. The reversal of 13638337 is 73383631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11553201 + 2085136 = 3399^2 + 1444^2 .

It is an emirp because it is prime and its reverse (73383631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13638337 - 2³ = 13638329 is a prime.

It is a super-2 number, since 2×13638337² = 372008472251138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13638307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6819168 + 6819169.

It is an arithmetic number, because the mean of its divisors is an integer number (6819169).

Almost surely, 2^13638337 is an apocalyptic number.

It is an amenable number.

13638337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13638337 is an equidigital number, since it uses as much as digits as its factorization.

13638337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 34.

The square root of 13638337 is about 3693.0119144135. The cubic root of 13638337 is about 238.9207150515.

The spelling of 13638337 in words is "thirteen million, six hundred thirty-eight thousand, three hundred thirty-seven".