221652 has 36 divisors (see below), whose sum is σ = 576576. Its totient is φ = 71760.

The previous prime is 221623. The next prime is 221653. The reversal of 221652 is 256122.

221652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221652.

It is not an unprimeable number, because it can be changed into a prime (221653) by changing a digit.

221652 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 11 ways as a sum of consecutive naturals, for example, 1627 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (16016).

2²²¹⁶⁵² 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 221652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288).

221652 is an abundant number, since it is smaller than the sum of its proper divisors (354924).

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

221652 is a wasteful number, since it uses less digits than its factorization.

221652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 221652 is about 470.7993203054. The cubic root of 221652 is about 60.5188339241.

Adding to 221652 its reverse (256122), we get a palindrome (477774).

The spelling of 221652 in words is "two hundred twenty-one thousand, six hundred fifty-two".