82082125 has 8 divisors (see below), whose sum is σ = 102438648. Its totient is φ = 65665600.

The previous prime is 82082113. The next prime is 82082131. The reversal of 82082125 is 52128028.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 81956809 = 354^2 + 9053^2 .

It is not a de Polignac number, because 82082125 - 2⁹ = 82081613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82082093 and 82082102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328204 + ... + 328453.

It is an arithmetic number, because the mean of its divisors is an integer number (12804831).

Almost surely, 2^82082125 is an apocalyptic number.

It is an amenable number.

82082125 is a deficient number, since it is larger than the sum of its proper divisors (20356523).

82082125 is an equidigital number, since it uses as much as digits as its factorization.

82082125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656672 (or 656662 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 82082125 is about 9059.9185978683. The cubic root of 82082125 is about 434.5931369902.

The spelling of 82082125 in words is "eighty-two million, eighty-two thousand, one hundred twenty-five".