10138937 has 2 divisors, whose sum is σ = 10138938. Its totient is φ = 10138936.

The previous prime is 10138901. The next prime is 10138957. The reversal of 10138937 is 73983101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9357481 + 781456 = 3059^2 + 884^2 .

It is an emirp because it is prime and its reverse (73983101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10138937 - 2⁶ = 10138873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10138957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5069468 + 5069469.

It is an arithmetic number, because the mean of its divisors is an integer number (5069469).

Almost surely, 2^10138937 is an apocalyptic number.

It is an amenable number.

10138937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10138937 is an equidigital number, since it uses as much as digits as its factorization.

10138937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10138937 is about 3184.1697505001. The cubic root of 10138937 is about 216.4366524178.

The spelling of 10138937 in words is "ten million, one hundred thirty-eight thousand, nine hundred thirty-seven".