221768 has 16 divisors (see below), whose sum is σ = 438000. Its totient is φ = 104976.

The previous prime is 221747. The next prime is 221773. The reversal of 221768 is 867122.

It is a nialpdrome in base 8.

It is an unprimeable 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, 578 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (27375).

2²²¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

221768 is a deficient number, since it is larger than the sum of its proper divisors (216232).

221768 is a wasteful number, since it uses less digits than its factorization.

221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 221768 is about 470.9224989316. The cubic root of 221768 is about 60.5293894503.

It can be divided in two parts, 221 and 768, that added together give a palindrome (989).

The spelling of 221768 in words is "two hundred twenty-one thousand, seven hundred sixty-eight".