10221641 has 12 divisors (see below), whose sum is σ = 10989372. Its totient is φ = 9504768.

The previous prime is 10221623. The next prime is 10221647. The reversal of 10221641 is 14612201.

It can be written as a sum of positive squares in 6 ways, for example, as 1430416 + 8791225 = 1196^2 + 2965^2 .

It is not a de Polignac number, because 10221641 - 2¹⁴ = 10205257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221647) 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, 32501 + ... + 32813.

It is an arithmetic number, because the mean of its divisors is an integer number (915781).

Almost surely, 2^10221641 is an apocalyptic number.

It is an amenable number.

10221641 is a deficient number, since it is larger than the sum of its proper divisors (767731).

10221641 is a wasteful number, since it uses less digits than its factorization.

10221641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10221641 is about 3197.1301193414. The cubic root of 10221641 is about 217.0235556695.

Adding to 10221641 its reverse (14612201), we get a palindrome (24833842).

The spelling of 10221641 in words is "ten million, two hundred twenty-one thousand, six hundred forty-one".