402224321 has 2 divisors, whose sum is σ = 402224322. Its totient is φ = 402224320.

The previous prime is 402224311. The next prime is 402224323. The reversal of 402224321 is 123422204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335622400 + 66601921 = 18320^2 + 8161^2 .

It is a cyclic number.

It is not a de Polignac number, because 402224321 - 2⁶ = 402224257 is a prime.

It is a super-2 number, since 2×402224321² = 323568808807822082, which contains 22 as substring.

Together with 402224323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 402224293 and 402224302.

It is not a weakly prime, because it can be changed into another prime (402224323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201112160 + 201112161.

It is an arithmetic number, because the mean of its divisors is an integer number (201112161).

Almost surely, 2^402224321 is an apocalyptic number.

It is an amenable number.

402224321 is a deficient number, since it is larger than the sum of its proper divisors (1).

402224321 is an equidigital number, since it uses as much as digits as its factorization.

402224321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 402224321 is about 20055.5309328873. The cubic root of 402224321 is about 738.1695207455.

Adding to 402224321 its reverse (123422204), we get a palindrome (525646525).

The spelling of 402224321 in words is "four hundred two million, two hundred twenty-four thousand, three hundred twenty-one".