6165 has 12 divisors (see below), whose sum is σ = 10764. Its totient is φ = 3264.

The previous prime is 6163. The next prime is 6173. The reversal of 6165 is 5616.

Added to its reverse (5616) it gives a triangular number (11781 = T₁₅₃).

6165 = T₃₀ + T₃₁ + ... + T₃₉.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 3249 = 54^2 + 57^2 .

It is not a de Polignac number, because 6165 - 2¹ = 6163 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (897).

2⁶¹⁶⁵ is an apocalyptic number.

It is an amenable number.

6165 is a deficient number, since it is larger than the sum of its proper divisors (4599).

6165 is a wasteful number, since it uses less digits than its factorization.

6165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 6165 is about 78.5175139698. The cubic root of 6165 is about 18.3362713381.

Adding to 6165 its reverse (5616), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 6 and 165, that multiplied together give a triangular number (990 = T₄₄).

The spelling of 6165 in words is "six thousand, one hundred sixty-five".