82165 has 4 divisors (see below), whose sum is σ = 98604. Its totient is φ = 65728.

The previous prime is 82163. The next prime is 82171. The reversal of 82165 is 56128.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 20164 = 249^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 82165 - 2¹ = 82163 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

82165 is a lucky number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163) 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, 8212 + ... + 8221.

It is an arithmetic number, because the mean of its divisors is an integer number (24651).

2⁸²¹⁶⁵ is an apocalyptic number.

It is an amenable number.

82165 is a deficient number, since it is larger than the sum of its proper divisors (16439).

82165 is a wasteful number, since it uses less digits than its factorization.

82165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16438.

The product of its digits is 480, while the sum is 22.

The square root of 82165 is about 286.6443789786. The cubic root of 82165 is about 43.4739351494.

It can be divided in two parts, 82 and 165, that multiplied together give a triangular number (13530 = T₁₆₄).

The spelling of 82165 in words is "eighty-two thousand, one hundred sixty-five".