138637 has 2 divisors, whose sum is σ = 138638. Its totient is φ = 138636.

The previous prime is 138629. The next prime is 138641. The reversal of 138637 is 736831.

138637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 23716 = 339^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 138637 - 2³ = 138629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69318 + 69319.

It is an arithmetic number, because the mean of its divisors is an integer number (69319).

2¹³⁸⁶³⁷ is an apocalyptic number.

It is an amenable number.

138637 is a deficient number, since it is larger than the sum of its proper divisors (1).

138637 is an equidigital number, since it uses as much as digits as its factorization.

138637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 138637 is about 372.3398984799. The cubic root of 138637 is about 51.7558823936.

The spelling of 138637 in words is "one hundred thirty-eight thousand, six hundred thirty-seven".