4205321 has 2 divisors, whose sum is σ = 4205322. Its totient is φ = 4205320.

The previous prime is 4205317. The next prime is 4205323. The reversal of 4205321 is 1235024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4145296 + 60025 = 2036^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205321 - 2² = 4205317 is a prime.

It is a Sophie Germain prime.

Together with 4205323, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4¹¹ + 2⁹ + 0 + 5³ + 3⁷ + 2¹³ + 1 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4205321.

It is not a weakly prime, because it can be changed into another prime (4205323) by changing a digit.

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 as a sum of consecutive naturals, namely, 2102660 + 2102661.

It is an arithmetic number, because the mean of its divisors is an integer number (2102661).

Almost surely, 2^4205321 is an apocalyptic number.

It is an amenable number.

4205321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205321 is an equidigital number, since it uses as much as digits as its factorization.

4205321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4205321 is about 2050.6879333531. The cubic root of 4205321 is about 161.4109711968.

The spelling of 4205321 in words is "four million, two hundred five thousand, three hundred twenty-one".