82317225 has 24 divisors (see below), whose sum is σ = 140794560. Its totient is φ = 42387520.

The previous prime is 82317211. The next prime is 82317227. The reversal of 82317225 is 52271328.

It is not a de Polignac number, because 82317225 - 2⁹ = 82316713 is a prime.

It is a super-2 number, since 2×82317225² = 13552251063401250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82317192 and 82317201.

It is not an unprimeable number, because it can be changed into a prime (82317227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16749 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (5866440).

Almost surely, 2^82317225 is an apocalyptic number.

It is an amenable number.

82317225 is a deficient number, since it is larger than the sum of its proper divisors (58477335).

82317225 is a wasteful number, since it uses less digits than its factorization.

82317225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37889 (or 37884 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 82317225 is about 9072.8840508407. The cubic root of 82317225 is about 435.0076627003.

The spelling of 82317225 in words is "eighty-two million, three hundred seventeen thousand, two hundred twenty-five".