10137691 has 2 divisors, whose sum is σ = 10137692. Its totient is φ = 10137690.

The previous prime is 10137689. The next prime is 10137709. The reversal of 10137691 is 19673101.

10137691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10137691 - 2¹ = 10137689 is a prime.

It is a super-2 number, since 2×10137691² = 205545557622962, which contains 22 as substring.

Together with 10137689, 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 (10137671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068845 + 5068846.

It is an arithmetic number, because the mean of its divisors is an integer number (5068846).

Almost surely, 2^10137691 is an apocalyptic number.

10137691 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137691 is an equidigital number, since it uses as much as digits as its factorization.

10137691 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 10137691 is about 3183.9740890906. The cubic root of 10137691 is about 216.4277859026.

The spelling of 10137691 in words is "ten million, one hundred thirty-seven thousand, six hundred ninety-one".