221088841 has 2 divisors, whose sum is σ = 221088842. Its totient is φ = 221088840.

The previous prime is 221088809. The next prime is 221088853. The reversal of 221088841 is 148880122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213276816 + 7812025 = 14604^2 + 2795^2 .

It is a cyclic number.

It is not a de Polignac number, because 221088841 - 2⁵ = 221088809 is a prime.

It is a super-2 number, since 2×221088841² = 97760551229446562, which contains 22 as substring.

It is equal to p_12179149 and since 221088841 and 12179149 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 221088797 and 221088806.

It is not a weakly prime, because it can be changed into another prime (221088041) 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 as a sum of consecutive naturals, namely, 110544420 + 110544421.

It is an arithmetic number, because the mean of its divisors is an integer number (110544421).

Almost surely, 2^221088841 is an apocalyptic number.

It is an amenable number.

221088841 is a deficient number, since it is larger than the sum of its proper divisors (1).

221088841 is an equidigital number, since it uses as much as digits as its factorization.

221088841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 221088841 is about 14869.0564932682. The cubic root of 221088841 is about 604.6753634801.

The spelling of 221088841 in words is "two hundred twenty-one million, eighty-eight thousand, eight hundred forty-one".