2213353 has 2 divisors, whose sum is σ = 2213354. Its totient is φ = 2213352.

The previous prime is 2213347. The next prime is 2213363. The reversal of 2213353 is 3533122.

2213353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1734489 + 478864 = 1317^2 + 692^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213353 - 2¹⁷ = 2082281 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 2²⁰ + 1 + 3³ + 3¹¹ + 5⁸ + 3¹² .

2213353 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2213353.

It is not a weakly prime, because it can be changed into another prime (2213363) 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, 1106676 + 1106677.

It is an arithmetic number, because the mean of its divisors is an integer number (1106677).

2^2213353 is an apocalyptic number.

It is an amenable number.

2213353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213353 is an equidigital number, since it uses as much as digits as its factorization.

2213353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 19.

The square root of 2213353 is about 1487.7341832465. The cubic root of 2213353 is about 130.3217474033.

Adding to 2213353 its reverse (3533122), we get a palindrome (5746475).

The spelling of 2213353 in words is "two million, two hundred thirteen thousand, three hundred fifty-three".