223632 has 30 divisors (see below), whose sum is σ = 626262. Its totient is φ = 74496.

The previous prime is 223621. The next prime is 223633. The reversal of 223632 is 236322.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 76176 = 384^2 + 276^2 .

It is a super-2 number, since 2×223632² = 100022542848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2³ + 2¹⁵ + 6 + 3⁶ + 3¹⁰ + 2¹⁷ .

It is a nialpdrome in base 6 and base 12.

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

223632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633 + ... + 920.

2²²³⁶³² is an apocalyptic number.

It is an amenable number.

223632 is an abundant number, since it is smaller than the sum of its proper divisors (402630).

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

223632 is a wasteful number, since it uses less digits than its factorization.

223632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1558 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 223632 is about 472.8974518857. The cubic root of 223632 is about 60.6985033290.

Adding to 223632 its reverse (236322), we get a palindrome (459954).

The spelling of 223632 in words is "two hundred twenty-three thousand, six hundred thirty-two".