8165 has 8 divisors (see below), whose sum is σ = 10368. Its totient is φ = 6160.

The previous prime is 8161. The next prime is 8167. The reversal of 8165 is 5618.

8165 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8165 - 2² = 8161 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8165.

It is not an unprimeable number, because it can be changed into a prime (8161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1296).

2⁸¹⁶⁵ is an apocalyptic number.

It is an amenable number.

8165 is a deficient number, since it is larger than the sum of its proper divisors (2203).

8165 is a wasteful number, since it uses less digits than its factorization.

8165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its digits is 240, while the sum is 20.

The square root of 8165 is about 90.3603895521. The cubic root of 8165 is about 20.1365653725.

The spelling of 8165 in words is "eight thousand, one hundred sixty-five".