10137689 has 2 divisors, whose sum is σ = 10137690. Its totient is φ = 10137688.

The previous prime is 10137683. The next prime is 10137691. The reversal of 10137689 is 98673101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7382089 + 2755600 = 2717^2 + 1660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137689 - 2⁸ = 10137433 is a prime.

Together with 10137691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10137683) 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, 5068844 + 5068845.

It is an arithmetic number, because the mean of its divisors is an integer number (5068845).

Almost surely, 2^10137689 is an apocalyptic number.

It is an amenable number.

10137689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137689 is an equidigital number, since it uses as much as digits as its factorization.

10137689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 10137689 is about 3183.9737750176. The cubic root of 10137689 is about 216.4277716700.

The spelling of 10137689 in words is "ten million, one hundred thirty-seven thousand, six hundred eighty-nine".