82191825 has 18 divisors (see below), whose sum is σ = 147215094. Its totient is φ = 43835520.

The previous prime is 82191803. The next prime is 82191841. The reversal of 82191825 is 52819128.

It can be written as a sum of positive squares in 3 ways, for example, as 21538881 + 60652944 = 4641^2 + 7788^2 .

It is not a de Polignac number, because 82191825 - 2⁶ = 82191761 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82191825.

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 17 ways as a sum of consecutive naturals, for example, 182424 + ... + 182873.

Almost surely, 2^82191825 is an apocalyptic number.

It is an amenable number.

82191825 is a deficient number, since it is larger than the sum of its proper divisors (65023269).

82191825 is a wasteful number, since it uses less digits than its factorization.

82191825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365313 (or 365305 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 82191825 is about 9065.9707147111. The cubic root of 82191825 is about 434.7866571761.

The spelling of 82191825 in words is "eighty-two million, one hundred ninety-one thousand, eight hundred twenty-five".