3165 has 8 divisors (see below), whose sum is σ = 5088. Its totient is φ = 1680.

The previous prime is 3163. The next prime is 3167. The reversal of 3165 is 5613.

Added to its reverse (5613) it gives a triangular number (8778 = T₁₃₂).

3165 = T₂₀ + T₂₁ + ... + T₂₉.

3165 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (3163) and next prime (3167).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3165 - 2¹ = 3163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 211 = 3165 / (3 + 1 + 6 + 5).

It is a d-powerful number, because it can be written as 3 + 6² + 1 + 5⁵ .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 120.

It is an arithmetic number, because the mean of its divisors is an integer number (636).

2³¹⁶⁵ is an apocalyptic number.

It is an amenable number.

3165 is a deficient number, since it is larger than the sum of its proper divisors (1923).

3165 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 3165 = (6135)₈.

3165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its digits is 90, while the sum is 15.

The square root of 3165 is about 56.2583327161. The cubic root of 3165 is about 14.6822034622.

Adding to 3165 its reverse (5613), we get a palindrome (8778).

The spelling of 3165 in words is "three thousand, one hundred sixty-five".