404221 has 2 divisors, whose sum is σ = 404222. Its totient is φ = 404220.

The previous prime is 404213. The next prime is 404249. The reversal of 404221 is 122404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 376996 + 27225 = 614^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 404221 - 2³ = 404213 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202110 + 202111.

It is an arithmetic number, because the mean of its divisors is an integer number (202111).

2⁴⁰⁴²²¹ is an apocalyptic number.

It is an amenable number.

404221 is a deficient number, since it is larger than the sum of its proper divisors (1).

404221 is an equidigital number, since it uses as much as digits as its factorization.

404221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 404221 is about 635.7837682735. The cubic root of 404221 is about 73.9388952597.

Adding to 404221 its reverse (122404), we get a palindrome (526625).

It can be divided in two parts, 404 and 221, that added together give a 4-th power (625 = 5⁴).

The spelling of 404221 in words is "four hundred four thousand, two hundred twenty-one", and thus it is an iban number.