221052 has 36 divisors (see below), whose sum is σ = 563640. Its totient is φ = 67392.

The previous prime is 221047. The next prime is 221059. The reversal of 221052 is 250122.

It is a Harshad number since it is a multiple of its sum of digits (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 221052.

It is not an unprimeable number, because it can be changed into a prime (221059) by changing a digit.

221052 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1974 + ... + 2082.

2²²¹⁰⁵² 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 221052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281820).

221052 is an abundant number, since it is smaller than the sum of its proper divisors (342588).

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

221052 is a wasteful number, since it uses less digits than its factorization.

221052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 221052 is about 470.1616743207. The cubic root of 221052 is about 60.4641775048.

Adding to 221052 its reverse (250122), we get a palindrome (471174).

The spelling of 221052 in words is "two hundred twenty-one thousand, fifty-two".