564401 has 2 divisors, whose sum is σ = 564402. Its totient is φ = 564400.

The previous prime is 564391. The next prime is 564407. The reversal of 564401 is 104465.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 564001 + 400 = 751^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 564401 - 2¹⁰ = 563377 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564401.

It is not a weakly prime, because it can be changed into another prime (564407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282200 + 282201.

It is an arithmetic number, because the mean of its divisors is an integer number (282201).

2⁵⁶⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

564401 is a deficient number, since it is larger than the sum of its proper divisors (1).

564401 is an equidigital number, since it uses as much as digits as its factorization.

564401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 564401 is about 751.2662643830. The cubic root of 564401 is about 82.6410687162.

Adding to 564401 its reverse (104465), we get a palindrome (668866).

The spelling of 564401 in words is "five hundred sixty-four thousand, four hundred one".