82641325 has 12 divisors (see below), whose sum is σ = 110358388. Its totient is φ = 61027200.

The previous prime is 82641289. The next prime is 82641341. The reversal of 82641325 is 52314628.

It can be written as a sum of positive squares in 6 ways, for example, as 22221796 + 60419529 = 4714^2 + 7773^2 .

It is not a de Polignac number, because 82641325 - 2⁹ = 82640813 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 126816 + ... + 127465.

Almost surely, 2^82641325 is an apocalyptic number.

It is an amenable number.

82641325 is a deficient number, since it is larger than the sum of its proper divisors (27717063).

82641325 is a wasteful number, since it uses less digits than its factorization.

82641325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254304 (or 254299 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 82641325 is about 9090.7274186393. The cubic root of 82641325 is about 435.5778202292.

The spelling of 82641325 in words is "eighty-two million, six hundred forty-one thousand, three hundred twenty-five".