320816417 has 2 divisors, whose sum is σ = 320816418. Its totient is φ = 320816416.

The previous prime is 320816359. The next prime is 320816429. The reversal of 320816417 is 714618023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319658641 + 1157776 = 17879^2 + 1076^2 .

It is a cyclic number.

It is not a de Polignac number, because 320816417 - 2⁸ = 320816161 is a prime.

It is not a weakly prime, because it can be changed into another prime (320816017) 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, 160408208 + 160408209.

It is an arithmetic number, because the mean of its divisors is an integer number (160408209).

Almost surely, 2^320816417 is an apocalyptic number.

It is an amenable number.

320816417 is a deficient number, since it is larger than the sum of its proper divisors (1).

320816417 is an equidigital number, since it uses as much as digits as its factorization.

320816417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 320816417 is about 17911.3488325140. The cubic root of 320816417 is about 684.5715736126.

The spelling of 320816417 in words is "three hundred twenty million, eight hundred sixteen thousand, four hundred seventeen".