221005753 has 2 divisors, whose sum is σ = 221005754. Its totient is φ = 221005752.

The previous prime is 221005667. The next prime is 221005769. The reversal of 221005753 is 357500122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198471744 + 22534009 = 14088^2 + 4747^2 .

It is a cyclic number.

It is not a de Polignac number, because 221005753 - 2⁹ = 221005241 is a prime.

It is not a weakly prime, because it can be changed into another prime (221005793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110502876 + 110502877.

It is an arithmetic number, because the mean of its divisors is an integer number (110502877).

Almost surely, 2^221005753 is an apocalyptic number.

It is an amenable number.

221005753 is a deficient number, since it is larger than the sum of its proper divisors (1).

221005753 is an equidigital number, since it uses as much as digits as its factorization.

221005753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 221005753 is about 14866.2622403885. The cubic root of 221005753 is about 604.5996057569.

Adding to 221005753 its reverse (357500122), we get a palindrome (578505875).

The spelling of 221005753 in words is "two hundred twenty-one million, five thousand, seven hundred fifty-three".