817120338 has 16 divisors (see below), whose sum is σ = 1635318336. Its totient is φ = 272193840.

The previous prime is 817120313. The next prime is 817120363. The reversal of 817120338 is 833021718.

It is an interprime number because it is at equal distance from previous prime (817120313) and next prime (817120363).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 817120299 and 817120308.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 34873 + ... + 53388.

It is an arithmetic number, because the mean of its divisors is an integer number (102207396).

Almost surely, 2^817120338 is an apocalyptic number.

817120338 is an abundant number, since it is smaller than the sum of its proper divisors (818197998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817120338 is a wasteful number, since it uses less digits than its factorization.

817120338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89809.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 817120338 is about 28585.3168252514. The cubic root of 817120338 is about 934.8932124698.

The spelling of 817120338 in words is "eight hundred seventeen million, one hundred twenty thousand, three hundred thirty-eight".