8221041 has 32 divisors (see below), whose sum is σ = 12763520. Its totient is φ = 5225472.

The previous prime is 8221027. The next prime is 8221061. The reversal of 8221041 is 1401228.

It is not a de Polignac number, because 8221041 - 2⁵ = 8221009 is a prime.

It is a Duffinian number.

8221041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84705 + ... + 84801.

It is an arithmetic number, because the mean of its divisors is an integer number (398860).

Almost surely, 2^8221041 is an apocalyptic number.

It is an amenable number.

8221041 is a deficient number, since it is larger than the sum of its proper divisors (4542479).

8221041 is a wasteful number, since it uses less digits than its factorization.

8221041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8221041 is about 2867.2357768415. The cubic root of 8221041 is about 201.8252990717.

Adding to 8221041 its reverse (1401228), we get a palindrome (9622269).

The spelling of 8221041 in words is "eight million, two hundred twenty-one thousand, forty-one".