838768117 has 48 divisors (see below), whose sum is σ = 1036808640. Its totient is φ = 670348800.

The previous prime is 838768111. The next prime is 838768123. The reversal of 838768117 is 711867838.

It is an interprime number because it is at equal distance from previous prime (838768111) and next prime (838768123).

It is not a de Polignac number, because 838768117 - 2⁷ = 838767989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838768111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6034234 + ... + 6034372.

It is an arithmetic number, because the mean of its divisors is an integer number (21600180).

Almost surely, 2^838768117 is an apocalyptic number.

It is an amenable number.

838768117 is a deficient number, since it is larger than the sum of its proper divisors (198040523).

838768117 is a wasteful number, since it uses less digits than its factorization.

838768117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

The square root of 838768117 is about 28961.4936942140. The cubic root of 838768117 is about 943.0773285784.

The spelling of 838768117 in words is "eight hundred thirty-eight million, seven hundred sixty-eight thousand, one hundred seventeen".