401305217 has 2 divisors, whose sum is σ = 401305218. Its totient is φ = 401305216.

The previous prime is 401305193. The next prime is 401305279. The reversal of 401305217 is 712503104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395174641 + 6130576 = 19879^2 + 2476^2 .

It is a cyclic number.

It is not a de Polignac number, because 401305217 - 2¹⁶ = 401239681 is a prime.

It is a super-2 number, since 2×401305217² = 322091754382834178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401305192 and 401305201.

It is not a weakly prime, because it can be changed into another prime (401305297) 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, 200652608 + 200652609.

It is an arithmetic number, because the mean of its divisors is an integer number (200652609).

Almost surely, 2^401305217 is an apocalyptic number.

It is an amenable number.

401305217 is a deficient number, since it is larger than the sum of its proper divisors (1).

401305217 is an equidigital number, since it uses as much as digits as its factorization.

401305217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 401305217 is about 20032.6038497246. The cubic root of 401305217 is about 737.6068397165.

The spelling of 401305217 in words is "four hundred one million, three hundred five thousand, two hundred seventeen".