8217441 has 12 divisors (see below), whose sum is σ = 12190932. Its totient is φ = 5330016.

The previous prime is 8217439. The next prime is 8217467. The reversal of 8217441 is 1447128.

8217441 is a `hidden beast` number, since 8 + 217 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7177041 + 1040400 = 2679^2 + 1020^2 .

It is not a de Polignac number, because 8217441 - 2¹ = 8217439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8217241) 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, 12006 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (1015911).

Almost surely, 2^8217441 is an apocalyptic number.

It is an amenable number.

8217441 is a deficient number, since it is larger than the sum of its proper divisors (3973491).

8217441 is a wasteful number, since it uses less digits than its factorization.

8217441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 24717 counting only the distinct ones).

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

The square root of 8217441 is about 2866.6079257548. The cubic root of 8217441 is about 201.7958349540.

It can be divided in two parts, 82174 and 41, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 8217441 in words is "eight million, two hundred seventeen thousand, four hundred forty-one".