82173825 has 96 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 40772160.

The previous prime is 82173821. The next prime is 82173827. The reversal of 82173825 is 52837128.

It is not a de Polignac number, because 82173825 - 2² = 82173821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82173825.

It is not an unprimeable number, because it can be changed into a prime (82173821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1040136 + ... + 1040214.

It is an arithmetic number, because the mean of its divisors is an integer number (1686400).

Almost surely, 2^82173825 is an apocalyptic number.

It is an amenable number.

82173825 is a deficient number, since it is larger than the sum of its proper divisors (79720575).

82173825 is a wasteful number, since it uses less digits than its factorization.

82173825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82173825 is about 9064.9779370939. The cubic root of 82173825 is about 434.7549154499.

The spelling of 82173825 in words is "eighty-two million, one hundred seventy-three thousand, eight hundred twenty-five".