407221 has 2 divisors, whose sum is σ = 407222. Its totient is φ = 407220.

The previous prime is 407219. The next prime is 407233. The reversal of 407221 is 122704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239121 + 168100 = 489^2 + 410^2 .

It is a cyclic number.

It is not a de Polignac number, because 407221 - 2¹ = 407219 is a prime.

Together with 407219, it forms a pair of twin primes.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 407195 and 407204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407291) 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 as a sum of consecutive naturals, namely, 203610 + 203611.

It is an arithmetic number, because the mean of its divisors is an integer number (203611).

2⁴⁰⁷²²¹ is an apocalyptic number.

It is an amenable number.

407221 is a deficient number, since it is larger than the sum of its proper divisors (1).

407221 is an equidigital number, since it uses as much as digits as its factorization.

407221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 407221 is about 638.1386996571. The cubic root of 407221 is about 74.1213616055.

Adding to 407221 its reverse (122704), we get a palindrome (529925).

The spelling of 407221 in words is "four hundred seven thousand, two hundred twenty-one", and thus it is an iban number.