223345 has 8 divisors (see below), whose sum is σ = 282240. Its totient is φ = 169200.

The previous prime is 223339. The next prime is 223361. The reversal of 223345 is 543322.

Adding to 223345 its reverse (543322), we get a palindrome (766667).

It can be divided in two parts, 2233 and 45, that added together give a triangular number (2278 = T_{67}).

223345 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 not a de Polignac number, because 223345 - 2^{3} = 223337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a d-powerful number, because it can be written as **2** + **2**^{17} + **3**^{8} + **3**^{8} + **4**^{5} + **5**^{7} .

It is a plaindrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

It is a Poulet number, since it divides 2^{223344}-1.

2^{223345} is an apocalyptic number.

It is an amenable number.

223345 is a deficient number, since it is larger than the sum of its proper divisors (58895).

223345 is a wasteful number, since it uses less digits than its factorization.

223345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375.

The product of its digits is 720, while the sum is 19.

The square root of 223345 is about 472.5939060123. The cubic root of 223345 is about 60.6725262357.

The spelling of 223345 in words is "two hundred twenty-three thousand, three hundred forty-five".

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