10008137 has 2 divisors, whose sum is σ = 10008138. Its totient is φ = 10008136.

The previous prime is 10008113. The next prime is 10008179. The reversal of 10008137 is 73180001.

10008137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9634816 + 373321 = 3104^2 + 611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10008137 - 2⁶ = 10008073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10008437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004068 + 5004069.

It is an arithmetic number, because the mean of its divisors is an integer number (5004069).

Almost surely, 2^10008137 is an apocalyptic number.

It is an amenable number.

10008137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008137 is an equidigital number, since it uses as much as digits as its factorization.

10008137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10008137 is about 3163.5639712198. The cubic root of 10008137 is about 215.5018886110.

Adding to 10008137 its reverse (73180001), we get a palindrome (83188138).

The spelling of 10008137 in words is "ten million, eight thousand, one hundred thirty-seven".