82125 has 24 divisors (see below), whose sum is σ = 150072. Its totient is φ = 43200.

The previous prime is 82073. The next prime is 82129. The reversal of 82125 is 52128.

82125 = T₆ + T₇ + ... + T₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 79524 = 51^2 + 282^2 .

It is not a de Polignac number, because 82125 - 2⁸ = 81869 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 82098 and 82107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1089 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (6253).

2⁸²¹²⁵ is an apocalyptic number.

It is an amenable number.

82125 is a deficient number, since it is larger than the sum of its proper divisors (67947).

82125 is a wasteful number, since it uses less digits than its factorization.

82125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 82125 is about 286.5745976181. The cubic root of 82125 is about 43.4668792672.

The spelling of 82125 in words is "eighty-two thousand, one hundred twenty-five".