223764 has 24 divisors (see below), whose sum is σ = 540960. Its totient is φ = 71904.

The previous prime is 223759. The next prime is 223781. The reversal of 223764 is 467322.

223764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁵ + 7⁶ + 3 + 6⁵ + 4⁸ .

It is a congruent number.

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, 27 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2²²³⁷⁶⁴ 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 223764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270480).

223764 is an abundant number, since it is smaller than the sum of its proper divisors (317196).

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

223764 is a wasteful number, since it uses less digits than its factorization.

223764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 223764 is about 473.0369964390. The cubic root of 223764 is about 60.7104435202.

The spelling of 223764 in words is "two hundred twenty-three thousand, seven hundred sixty-four".