221382 has 36 divisors (see below), whose sum is σ = 560196. Its totient is φ = 63000.

The previous prime is 221327. The next prime is 221393. The reversal of 221382 is 283122.

It is a happy number.

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

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 221382.

It is an unprimeable number.

221382 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 17 ways as a sum of consecutive naturals, for example, 757 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2²²¹³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

221382 is an abundant number, since it is smaller than the sum of its proper divisors (338814).

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

221382 is a wasteful number, since it uses less digits than its factorization.

221382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 221382 is about 470.5124865506. The cubic root of 221382 is about 60.4942507571.

The spelling of 221382 in words is "two hundred twenty-one thousand, three hundred eighty-two".