2213623 has 2 divisors, whose sum is σ = 2213624. Its totient is φ = 2213622.

The previous prime is 2213609. The next prime is 2213647. The reversal of 2213623 is 3263122.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2213623 - 2⁵ = 2213591 is a prime.

It is a super-2 number, since 2×2213623² = 9800253572258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 2⁹ + 1 + 3 + 6⁸ + 2¹¹ + 3¹² .

2213623 is a lucky number.

It is equal to p₁₆₃₆₁₂ and since 2213623 and 163612 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2213623.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213423) 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, 1106811 + 1106812.

It is an arithmetic number, because the mean of its divisors is an integer number (1106812).

2^2213623 is an apocalyptic number.

2213623 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213623 is an equidigital number, since it uses as much as digits as its factorization.

2213623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 2213623 is about 1487.8249224959. The cubic root of 2213623 is about 130.3270463685.

Adding to 2213623 its reverse (3263122), we get a palindrome (5476745).

It can be divided in two parts, 221 and 3623, that added together give a square (3844 = 62²).

The spelling of 2213623 in words is "two million, two hundred thirteen thousand, six hundred twenty-three".