221322 has 8 divisors (see below), whose sum is σ = 442656. Its totient is φ = 73772.

The previous prime is 221317. The next prime is 221327. The reversal of 221322 is 223122.

It is an interprime number because it is at equal distance from previous prime (221317) and next prime (221327).

It is a sphenic number, since it is the product of 3 distinct primes.

221322 is an admirable number.

It is a super-3 number, since 3×221322³ = 32523330545634744, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 221298 and 221307.

It is not an unprimeable number, because it can be changed into a prime (221327) by changing a digit.

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, 18438 + ... + 18449.

It is an arithmetic number, because the mean of its divisors is an integer number (55332).

2²²¹³²² is an apocalyptic number.

221322 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

221322 is a wasteful number, since it uses less digits than its factorization.

221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36892.

The product of its digits is 48, while the sum is 12.

The square root of 221322 is about 470.4487219666. The cubic root of 221322 is about 60.4887851170.

Adding to 221322 its reverse (223122), we get a palindrome (444444).

The spelling of 221322 in words is "two hundred twenty-one thousand, three hundred twenty-two", and thus it is an iban number.