268221 has 8 divisors (see below), whose sum is σ = 370080. Its totient is φ = 172592.

The previous prime is 268211. The next prime is 268237. The reversal of 268221 is 122862.

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

It is a cyclic number.

It is not a de Polignac number, because 268221 - 2⁵ = 268189 is a prime.

It is a Curzon number.

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 268221.

It is not an unprimeable number, because it can be changed into a prime (268211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (46260).

2²⁶⁸²²¹ is an apocalyptic number.

It is an amenable number.

268221 is a deficient number, since it is larger than the sum of its proper divisors (101859).

268221 is a wasteful number, since it uses less digits than its factorization.

268221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115.

The product of its digits is 384, while the sum is 21.

The square root of 268221 is about 517.9005696077. The cubic root of 268221 is about 64.4907744752.

The spelling of 268221 in words is "two hundred sixty-eight thousand, two hundred twenty-one".