220401317 has 2 divisors, whose sum is σ = 220401318. Its totient is φ = 220401316.

The previous prime is 220401241. The next prime is 220401323. The reversal of 220401317 is 713104022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219069601 + 1331716 = 14801^2 + 1154^2 .

It is a cyclic number.

It is not a de Polignac number, because 220401317 - 2¹⁰ = 220400293 is a prime.

It is a super-3 number, since 3×220401317³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220401397) 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, 110200658 + 110200659.

It is an arithmetic number, because the mean of its divisors is an integer number (110200659).

Almost surely, 2^220401317 is an apocalyptic number.

It is an amenable number.

220401317 is a deficient number, since it is larger than the sum of its proper divisors (1).

220401317 is an equidigital number, since it uses as much as digits as its factorization.

220401317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 220401317 is about 14845.9192036061. The cubic root of 220401317 is about 604.0479226409.

Adding to 220401317 its reverse (713104022), we get a palindrome (933505339).

The spelling of 220401317 in words is "two hundred twenty million, four hundred one thousand, three hundred seventeen".