82088125 has 40 divisors (see below), whose sum is σ = 121461120. Its totient is φ = 54264000.

The previous prime is 82088117. The next prime is 82088143. The reversal of 82088125 is 52188028.

It is a happy number.

It is not a de Polignac number, because 82088125 - 2³ = 82088117 is a prime.

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 39 ways as a sum of consecutive naturals, for example, 126552 + ... + 127198.

It is an arithmetic number, because the mean of its divisors is an integer number (3036528).

Almost surely, 2^82088125 is an apocalyptic number.

It is an amenable number.

82088125 is a deficient number, since it is larger than the sum of its proper divisors (39372995).

82088125 is an equidigital number, since it uses as much as digits as its factorization.

82088125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 82088125 is about 9060.2497206203. The cubic root of 82088125 is about 434.6037259594.

The spelling of 82088125 in words is "eighty-two million, eighty-eight thousand, one hundred twenty-five".