6117 has 4 divisors (see below), whose sum is σ = 8160. Its totient is φ = 4076.

The previous prime is 6113. The next prime is 6121. The reversal of 6117 is 7116.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (6113) and next prime (6121).

It is a cyclic number.

It is not a de Polignac number, because 6117 - 2² = 6113 is a prime.

It is a D-number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 6096 and 6105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1017 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (2040).

It is an amenable number.

6117 is a deficient number, since it is larger than the sum of its proper divisors (2043).

6117 is a wasteful number, since it uses less digits than its factorization.

6117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042.

The product of its digits is 42, while the sum is 15.

The square root of 6117 is about 78.2112523874. The cubic root of 6117 is about 18.2885592439.

Subtracting 6117 from its reverse (7116), we obtain a palindrome (999).

It can be divided in two parts, 61 and 17, that added together give a triangular number (78 = T₁₂).

The spelling of 6117 in words is "six thousand, one hundred seventeen".