10117873 has 16 divisors (see below), whose sum is σ = 11252736. Its totient is φ = 9054720.

The previous prime is 10117867. The next prime is 10117883. The reversal of 10117873 is 37871101.

10117873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10117873 - 2⁵ = 10117841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38340 + ... + 38602.

It is an arithmetic number, because the mean of its divisors is an integer number (703296).

Almost surely, 2^10117873 is an apocalyptic number.

It is an amenable number.

10117873 is a deficient number, since it is larger than the sum of its proper divisors (1134863).

10117873 is a wasteful number, since it uses less digits than its factorization.

10117873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 10117873 is about 3180.8604181888. The cubic root of 10117873 is about 216.2866635688.

Adding to 10117873 its reverse (37871101), we get a palindrome (47988974).

The spelling of 10117873 in words is "ten million, one hundred seventeen thousand, eight hundred seventy-three".