82804625 has 32 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 63600000.

The previous prime is 82804613. The next prime is 82804639. The reversal of 82804625 is 52640828.

It is not a de Polignac number, because 82804625 - 2⁴ = 82804609 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548300 + ... + 548450.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2^82804625 is an apocalyptic number.

It is an amenable number.

82804625 is a deficient number, since it is larger than the sum of its proper divisors (24753007).

82804625 is a wasteful number, since it uses less digits than its factorization.

82804625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 82804625 is about 9099.7046655372. The cubic root of 82804625 is about 435.8645333570.

The spelling of 82804625 in words is "eighty-two million, eight hundred four thousand, six hundred twenty-five".