2213305 has 8 divisors (see below), whose sum is σ = 2664000. Its totient is φ = 1765296.

The previous prime is 2213293. The next prime is 2213311. The reversal of 2213305 is 5033122.

2213305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2213305 - 2¹¹ = 2211257 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 3364.

It is an arithmetic number, because the mean of its divisors is an integer number (333000).

2^2213305 is an apocalyptic number.

It is an amenable number.

2213305 is a deficient number, since it is larger than the sum of its proper divisors (450695).

2213305 is an equidigital number, since it uses as much as digits as its factorization.

2213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2213305 is about 1487.7180512449. The cubic root of 2213305 is about 130.3208053200.

Adding to 2213305 its reverse (5033122), we get a palindrome (7246427).

The spelling of 2213305 in words is "two million, two hundred thirteen thousand, three hundred five".