10137857 has 2 divisors, whose sum is σ = 10137858. Its totient is φ = 10137856.

The previous prime is 10137821. The next prime is 10137859. The reversal of 10137857 is 75873101.

It is a Cunningham number, because it is equal to 3184²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10137856 + 1 = 3184^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137857 - 2²⁰ = 9089281 is a prime.

It is a super-2 number, since 2×10137857² = 205552289104898, which contains 22 as substring.

Together with 10137859, 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 (10137859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068928 + 5068929.

It is an arithmetic number, because the mean of its divisors is an integer number (5068929).

Almost surely, 2^10137857 is an apocalyptic number.

It is an amenable number.

10137857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137857 is an equidigital number, since it uses as much as digits as its factorization.

10137857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 10137857 is about 3184.0001570352. Note that the first 3 decimals coincide. The cubic root of 10137857 is about 216.4289671977.

The spelling of 10137857 in words is "ten million, one hundred thirty-seven thousand, eight hundred fifty-seven".