221973041 has 2 divisors, whose sum is σ = 221973042. Its totient is φ = 221973040.

The previous prime is 221973007. The next prime is 221973043. The reversal of 221973041 is 140379122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198246400 + 23726641 = 14080^2 + 4871^2 .

It is a cyclic number.

It is not a de Polignac number, because 221973041 - 2¹⁰ = 221972017 is a prime.

Together with 221973043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 221972995 and 221973013.

It is not a weakly prime, because it can be changed into another prime (221973043) 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, 110986520 + 110986521.

It is an arithmetic number, because the mean of its divisors is an integer number (110986521).

Almost surely, 2^221973041 is an apocalyptic number.

It is an amenable number.

221973041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221973041 is an equidigital number, since it uses as much as digits as its factorization.

221973041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 221973041 is about 14898.7597134795. The cubic root of 221973041 is about 605.4803834390.

The spelling of 221973041 in words is "two hundred twenty-one million, nine hundred seventy-three thousand, forty-one".