82365 has 24 divisors (see below), whose sum is σ = 147360. Its totient is φ = 39168.

The previous prime is 82361. The next prime is 82373. The reversal of 82365 is 56328.

It is not a de Polignac number, because 82365 - 2² = 82361 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4326 + ... + 4344.

It is an arithmetic number, because the mean of its divisors is an integer number (6140).

2⁸²³⁶⁵ is an apocalyptic number.

82365 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82365 is a deficient number, since it is larger than the sum of its proper divisors (64995).

82365 is a wasteful number, since it uses less digits than its factorization.

82365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 82365 is about 286.9930312743. The cubic root of 82365 is about 43.5091802530.

It can be divided in two parts, 823 and 65, that added together give a palindrome (888).

The spelling of 82365 in words is "eighty-two thousand, three hundred sixty-five".