82325 has 12 divisors (see below), whose sum is σ = 106020. Its totient is φ = 63360.

The previous prime is 82307. The next prime is 82339. The reversal of 82325 is 52328.

It can be written as a sum of positive squares in 6 ways, for example, as 529 + 81796 = 23^2 + 286^2 .

It is not a de Polignac number, because 82325 - 2⁶ = 82261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82297 and 82306.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 881 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2⁸²³²⁵ is an apocalyptic number.

It is an amenable number.

82325 is a deficient number, since it is larger than the sum of its proper divisors (23695).

82325 is a wasteful number, since it uses less digits than its factorization.

82325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 82325 is about 286.9233347081. The cubic root of 82325 is about 43.5021358004.

It can be divided in two parts, 823 and 25, that added together give a palindrome (848).

The spelling of 82325 in words is "eighty-two thousand, three hundred twenty-five".