223376 has 20 divisors (see below), whose sum is σ = 452352. Its totient is φ = 106656.

The previous prime is 223367. The next prime is 223381. The reversal of 223376 is 673322.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223376.

It is an unprimeable number.

223376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 671.

2²²³³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176).

223376 is an abundant number, since it is smaller than the sum of its proper divisors (228976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223376 is a wasteful number, since it uses less digits than its factorization.

223376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 223376 is about 472.6267025888. The cubic root of 223376 is about 60.6753331955.

Adding to 223376 its reverse (673322), we get a palindrome (896698).

The spelling of 223376 in words is "two hundred twenty-three thousand, three hundred seventy-six".