2213361 has 12 divisors (see below), whose sum is σ = 3236688. Its totient is φ = 1457304.

The previous prime is 2213353. The next prime is 2213363. The reversal of 2213361 is 1633122.

2213361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213361 - 2³ = 2213353 is a prime.

It is not an unprimeable number, because it can be changed into a 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 in 11 ways as a sum of consecutive naturals, for example, 735 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (269724).

2^2213361 is an apocalyptic number.

It is an amenable number.

2213361 is a deficient number, since it is larger than the sum of its proper divisors (1023327).

2213361 is a wasteful number, since it uses less digits than its factorization.

2213361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3049 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2213361 is about 1487.7368718964. The cubic root of 2213361 is about 130.3219044159.

Adding to 2213361 its reverse (1633122), we get a palindrome (3846483).

The spelling of 2213361 in words is "two million, two hundred thirteen thousand, three hundred sixty-one".