221346 has 16 divisors (see below), whose sum is σ = 492000. Its totient is φ = 73764.

The previous prime is 221327. The next prime is 221393. The reversal of 221346 is 643122.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221346.

It is an unprimeable number.

221346 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 7 ways as a sum of consecutive naturals, for example, 1996 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (30750).

2²²¹³⁴⁶ is an apocalyptic number.

221346 is an abundant number, since it is smaller than the sum of its proper divisors (270654).

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

221346 is a wasteful number, since it uses less digits than its factorization.

221346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 221346 is about 470.4742288372. The cubic root of 221346 is about 60.4909714916.

Adding to 221346 its reverse (643122), we get a palindrome (864468).

The spelling of 221346 in words is "two hundred twenty-one thousand, three hundred forty-six".