82006125 has 32 divisors (see below), whose sum is σ = 137055360. Its totient is φ = 43545600.

The previous prime is 82006103. The next prime is 82006139. The reversal of 82006125 is 52160028.

It is not a de Polignac number, because 82006125 - 2⁶ = 82006061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82006095 and 82006104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141837 + ... + 142413.

It is an arithmetic number, because the mean of its divisors is an integer number (4282980).

Almost surely, 2^82006125 is an apocalyptic number.

It is an amenable number.

82006125 is a deficient number, since it is larger than the sum of its proper divisors (55049235).

82006125 is a wasteful number, since it uses less digits than its factorization.

82006125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 82006125 is about 9055.7233283708. The cubic root of 82006125 is about 434.4589653600.

The spelling of 82006125 in words is "eighty-two million, six thousand, one hundred twenty-five".