10038937 has 2 divisors, whose sum is σ = 10038938. Its totient is φ = 10038936.

The previous prime is 10038913. The next prime is 10038943. The reversal of 10038937 is 73983001.

10038937 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., 9865881 + 173056 = 3141^2 + 416^2 .

It is an emirp because it is prime and its reverse (73983001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10038937 - 2¹¹ = 10036889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10038899 and 10038908.

It is not a weakly prime, because it can be changed into another prime (10038907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5019468 + 5019469.

It is an arithmetic number, because the mean of its divisors is an integer number (5019469).

Almost surely, 2^10038937 is an apocalyptic number.

It is an amenable number.

10038937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038937 is an equidigital number, since it uses as much as digits as its factorization.

10038937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 10038937 is about 3168.4281591982. The cubic root of 10038937 is about 215.7227309405.

The spelling of 10038937 in words is "ten million, thirty-eight thousand, nine hundred thirty-seven".