412022321 has 2 divisors, whose sum is σ = 412022322. Its totient is φ = 412022320.

The previous prime is 412022309. The next prime is 412022323. The reversal of 412022321 is 123220214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231496225 + 180526096 = 15215^2 + 13436^2 .

It is a cyclic number.

It is not a de Polignac number, because 412022321 - 2¹⁸ = 411760177 is a prime.

It is a Sophie Germain prime.

Together with 412022323, it forms a pair of twin primes.

It is a Chen prime.

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 412022321.

It is not a weakly prime, because it can be changed into another prime (412022323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206011160 + 206011161.

It is an arithmetic number, because the mean of its divisors is an integer number (206011161).

Almost surely, 2^412022321 is an apocalyptic number.

It is an amenable number.

412022321 is a deficient number, since it is larger than the sum of its proper divisors (1).

412022321 is an equidigital number, since it uses as much as digits as its factorization.

412022321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 412022321 is about 20298.3329611079. The cubic root of 412022321 is about 744.1153236127.

Adding to 412022321 its reverse (123220214), we get a palindrome (535242535).

The spelling of 412022321 in words is "four hundred twelve million, twenty-two thousand, three hundred twenty-one".