223638 has 8 divisors (see below), whose sum is σ = 447288. Its totient is φ = 74544.

The previous prime is 223637. The next prime is 223667. The reversal of 223638 is 836322.

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

223638 is an admirable number.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹³ + 6⁴ + 3⁷ + 3¹¹ + 8⁵ .

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18631 + ... + 18642.

It is an arithmetic number, because the mean of its divisors is an integer number (55911).

2²²³⁶³⁸ is an apocalyptic number.

223638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

223638 is a wasteful number, since it uses less digits than its factorization.

223638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37278.

The product of its digits is 1728, while the sum is 24.

The square root of 223638 is about 472.9037957133. The cubic root of 223638 is about 60.6990461669.

It can be divided in two parts, 223 and 638, that added together give a triangular number (861 = T₄₁).

The spelling of 223638 in words is "two hundred twenty-three thousand, six hundred thirty-eight".