8117 has 2 divisors, whose sum is σ = 8118. Its totient is φ = 8116.

The previous prime is 8111. The next prime is 8123. The reversal of 8117 is 7118.

8117 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (8111) and next prime (8123).

It can be written as a sum of positive squares in only one way, i.e., 7921 + 196 = 89^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 8117 - 2^{4} = 8101 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 8095 and 8104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4058 + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (4059).

2^{8117} is an apocalyptic number.

It is an amenable number.

8117 is a deficient number, since it is larger than the sum of its proper divisors (1).

8117 is an equidigital number, since it uses as much as digits as its factorization.

8117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 56, while the sum is 17.

The square root of 8117 is about 90.0943949422. The cubic root of 8117 is about 20.0970285122.

Subtracting from 8117 its sum of digits (17), we obtain a square (8100 = 90^{2}).

Subtracting from 8117 its reverse (7118), we obtain a palindrome (999).

It can be divided in two parts, 811 and 7, that added together give a palindrome (818).

The spelling of 8117 in words is "eight thousand, one hundred seventeen".

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