564201 has 24 divisors (see below), whose sum is σ = 917280. Its totient is φ = 331200.

The previous prime is 564197. The next prime is 564227. The reversal of 564201 is 102465.

564201 = 39² + 40² + ... + 120².

It is a happy number.

It is not a de Polignac number, because 564201 - 2² = 564197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990 + ... + 4128.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁵⁶⁴²⁰¹ is an apocalyptic number.

It is an amenable number.

564201 is a deficient number, since it is larger than the sum of its proper divisors (353079).

564201 is a wasteful number, since it uses less digits than its factorization.

564201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 564201 is about 751.1331439898. The cubic root of 564201 is about 82.6313060554.

Adding to 564201 its reverse (102465), we get a palindrome (666666).

The spelling of 564201 in words is "five hundred sixty-four thousand, two hundred one".