221532 has 12 divisors (see below), whose sum is σ = 516936. Its totient is φ = 73840.

The previous prime is 221509. The next prime is 221537. The reversal of 221532 is 235122.

221532 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 (12).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221537) by changing a digit.

221532 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 3 ways as a sum of consecutive naturals, for example, 9219 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (43078).

2²²¹⁵³² is an apocalyptic number.

It is an amenable number.

221532 is an abundant number, since it is smaller than the sum of its proper divisors (295404).

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

221532 is a wasteful number, since it uses less digits than its factorization.

221532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468 (or 18466 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 221532 is about 470.6718602169. The cubic root of 221532 is about 60.5079105382.

Adding to 221532 its reverse (235122), we get a palindrome (456654).

It can be divided in two parts, 22153 and 2, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 221532 in words is "two hundred twenty-one thousand, five hundred thirty-two".