82065 has 8 divisors (see below), whose sum is σ = 131328. Its totient is φ = 43760.

The previous prime is 82051. The next prime is 82067. The reversal of 82065 is 56028.

It is a happy number.

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

It is not a de Polignac number, because 82065 - 2⁷ = 81937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82067) 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 7 ways as a sum of consecutive naturals, for example, 2721 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

2⁸²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

82065 is a deficient number, since it is larger than the sum of its proper divisors (49263).

82065 is a wasteful number, since it uses less digits than its factorization.

82065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82065 is about 286.4698937061. The cubic root of 82065 is about 43.4562911469.

The spelling of 82065 in words is "eighty-two thousand, sixty-five".