413707321 has 2 divisors, whose sum is σ = 413707322. Its totient is φ = 413707320.

The previous prime is 413707303. The next prime is 413707339. The reversal of 413707321 is 123707314.

It is a balanced prime because it is at equal distance from previous prime (413707303) and next prime (413707339).

It can be written as a sum of positive squares in only one way, i.e., 413674921 + 32400 = 20339^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 413707321 - 2⁷ = 413707193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413707321.

It is not a weakly prime, because it can be changed into another prime (413707391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206853660 + 206853661.

It is an arithmetic number, because the mean of its divisors is an integer number (206853661).

Almost surely, 2^413707321 is an apocalyptic number.

It is an amenable number.

413707321 is a deficient number, since it is larger than the sum of its proper divisors (1).

413707321 is an equidigital number, since it uses as much as digits as its factorization.

413707321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 413707321 is about 20339.7964837409. The cubic root of 413707321 is about 745.1283180622.

The spelling of 413707321 in words is "four hundred thirteen million, seven hundred seven thousand, three hundred twenty-one".