82009125 has 96 divisors (see below), whose sum is σ = 169004160. Its totient is φ = 38916000.

The previous prime is 82009087. The next prime is 82009141. The reversal of 82009125 is 52190028.

It is not a de Polignac number, because 82009125 - 2¹¹ = 82007077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1744852 + ... + 1744898.

It is an arithmetic number, because the mean of its divisors is an integer number (1760460).

Almost surely, 2^82009125 is an apocalyptic number.

It is an amenable number.

82009125 is an abundant number, since it is smaller than the sum of its proper divisors (86995035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82009125 is a wasteful number, since it uses less digits than its factorization.

82009125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 82009125 is about 9055.8889679589. Note that the first 3 decimals coincide. The cubic root of 82009125 is about 434.4642631798.

The spelling of 82009125 in words is "eighty-two million, nine thousand, one hundred twenty-five".