10838117 has 2 divisors, whose sum is σ = 10838118. Its totient is φ = 10838116.

The previous prime is 10838081. The next prime is 10838119. The reversal of 10838117 is 71183801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9278116 + 1560001 = 3046^2 + 1249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10838117 - 2¹⁰ = 10837093 is a prime.

Together with 10838119, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10838117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10838119) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419058 + 5419059.

It is an arithmetic number, because the mean of its divisors is an integer number (5419059).

Almost surely, 2^10838117 is an apocalyptic number.

It is an amenable number.

10838117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838117 is an equidigital number, since it uses as much as digits as its factorization.

10838117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 10838117 is about 3292.1295539514. The cubic root of 10838117 is about 221.3016294548.

The spelling of 10838117 in words is "ten million, eight hundred thirty-eight thousand, one hundred seventeen".