82417221 has 12 divisors (see below), whose sum is σ = 119127372. Its totient is φ = 54907776.

The previous prime is 82417213. The next prime is 82417229. The reversal of 82417221 is 12271428.

It is an interprime number because it is at equal distance from previous prime (82417213) and next prime (82417229).

It can be written as a sum of positive squares in 2 ways, for example, as 22184100 + 60233121 = 4710^2 + 7761^2 .

It is not a de Polignac number, because 82417221 - 2³ = 82417213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82417229) 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 11 ways as a sum of consecutive naturals, for example, 20445 + ... + 24141.

It is an arithmetic number, because the mean of its divisors is an integer number (9927281).

Almost surely, 2^82417221 is an apocalyptic number.

It is an amenable number.

82417221 is a deficient number, since it is larger than the sum of its proper divisors (36710151).

82417221 is a wasteful number, since it uses less digits than its factorization.

82417221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6177 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 82417221 is about 9078.3930846819. The cubic root of 82417221 is about 435.1837353041.

Adding to 82417221 its reverse (12271428), we get a palindrome (94688649).

The spelling of 82417221 in words is "eighty-two million, four hundred seventeen thousand, two hundred twenty-one".