213223 has 2 divisors, whose sum is σ = 213224. Its totient is φ = 213222.

The previous prime is 213217. The next prime is 213229. The reversal of 213223 is 322312.

It is a happy number.

213223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (213217) and next prime (213229).

It is a cyclic number.

It is not a de Polignac number, because 213223 - 2^{13} = 205031 is a prime.

It is a d-powerful number, because it can be written as **2**^{3} + **1** + **2**^{13} + **3**^{9} + **2**^{13} + **3**^{11} .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611 + 106612.

It is an arithmetic number, because the mean of its divisors is an integer number (106612).

2^{213223} is an apocalyptic number.

213223 is a deficient number, since it is larger than the sum of its proper divisors (1).

213223 is an equidigital number, since it uses as much as digits as its factorization.

213223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 13.

The square root of 213223 is about 461.7607605676. The cubic root of 213223 is about 59.7417605043.

Adding to 213223 its reverse (322312), we get a palindrome (535535).

It can be divided in two parts, 2 and 13223, that added together give a square (13225 = 115^{2}).

The spelling of 213223 in words is "two hundred thirteen thousand, two hundred twenty-three".

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