401564201 has 2 divisors, whose sum is σ = 401564202. Its totient is φ = 401564200.

The previous prime is 401564197. The next prime is 401564213. The reversal of 401564201 is 102465104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234120601 + 167443600 = 15301^2 + 12940^2 .

It is a cyclic number.

It is not a de Polignac number, because 401564201 - 2² = 401564197 is a prime.

It is a super-2 number, since 2×401564201² = 322507615049536802, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401564231) 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, 200782100 + 200782101.

It is an arithmetic number, because the mean of its divisors is an integer number (200782101).

Almost surely, 2^401564201 is an apocalyptic number.

It is an amenable number.

401564201 is a deficient number, since it is larger than the sum of its proper divisors (1).

401564201 is an equidigital number, since it uses as much as digits as its factorization.

401564201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 401564201 is about 20039.0668694927. The cubic root of 401564201 is about 737.7654781483.

The spelling of 401564201 in words is "four hundred one million, five hundred sixty-four thousand, two hundred one".