221792 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 106624.

The previous prime is 221773. The next prime is 221797. The reversal of 221792 is 297122.

221792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221797) by changing a digit.

221792 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²²¹⁷⁹² 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 221792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

221792 is an abundant number, since it is smaller than the sum of its proper divisors (231808).

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

221792 is a wasteful number, since it uses less digits than its factorization.

221792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 221792 is about 470.9479801422. The cubic root of 221792 is about 60.5315728926.

The spelling of 221792 in words is "two hundred twenty-one thousand, seven hundred ninety-two".