82115225 has 12 divisors (see below), whose sum is σ = 102193980. Its totient is φ = 65452800.

The previous prime is 82115191. The next prime is 82115261. The reversal of 82115225 is 52251128.

It can be written as a sum of positive squares in 6 ways, for example, as 6911641 + 75203584 = 2629^2 + 8672^2 .

It is not a de Polignac number, because 82115225 - 2¹⁶ = 82049689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82115194 and 82115203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1181 + ... + 12869.

It is an arithmetic number, because the mean of its divisors is an integer number (8516165).

Almost surely, 2^82115225 is an apocalyptic number.

It is an amenable number.

82115225 is a deficient number, since it is larger than the sum of its proper divisors (20078755).

82115225 is a wasteful number, since it uses less digits than its factorization.

82115225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11975 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 82115225 is about 9061.7451409759. The cubic root of 82115225 is about 434.6515463765.

The spelling of 82115225 in words is "eighty-two million, one hundred fifteen thousand, two hundred twenty-five".