2217641 has 2 divisors, whose sum is σ = 2217642. Its totient is φ = 2217640.

The previous prime is 2217617. The next prime is 2217643. The reversal of 2217641 is 1467122.

2217641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1371241 + 846400 = 1171^2 + 920^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217641 - 2⁶ = 2217577 is a prime.

Together with 2217643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2217643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108820 + 1108821.

It is an arithmetic number, because the mean of its divisors is an integer number (1108821).

2^2217641 is an apocalyptic number.

It is an amenable number.

2217641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217641 is an equidigital number, since it uses as much as digits as its factorization.

2217641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 2217641 is about 1489.1746035976. The cubic root of 2217641 is about 130.4058519524.

The spelling of 2217641 in words is "two million, two hundred seventeen thousand, six hundred forty-one".