138337 has 2 divisors, whose sum is σ = 138338. Its totient is φ = 138336.

The previous prime is 138323. The next prime is 138349. The reversal of 138337 is 733831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96721 + 41616 = 311^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 138337 - 2⁷ = 138209 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (138637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69168 + 69169.

It is an arithmetic number, because the mean of its divisors is an integer number (69169).

2¹³⁸³³⁷ is an apocalyptic number.

It is an amenable number.

138337 is a deficient number, since it is larger than the sum of its proper divisors (1).

138337 is an equidigital number, since it uses as much as digits as its factorization.

138337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 138337 is about 371.9368225922. The cubic root of 138337 is about 51.7185234928.

The spelling of 138337 in words is "one hundred thirty-eight thousand, three hundred thirty-seven".