564529 has 12 divisors (see below), whose sum is σ = 675108. Its totient is φ = 470400.

The previous prime is 564523. The next prime is 564533. The reversal of 564529 is 925465.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 388129 = 420^2 + 623^2 .

It is not a de Polignac number, because 564529 - 2⁵ = 564497 is a prime.

It is a d-powerful number, because it can be written as 5³ + 6 + 5³ + 4³ + 2¹⁵ + 9⁶ .

564529 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 564529.

It is not an unprimeable number, because it can be changed into a prime (564523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (56259).

2⁵⁶⁴⁵²⁹ is an apocalyptic number.

It is an amenable number.

564529 is a deficient number, since it is larger than the sum of its proper divisors (110579).

564529 is a wasteful number, since it uses less digits than its factorization.

564529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 564529 is about 751.3514490570. The cubic root of 564529 is about 82.6473156087.

The spelling of 564529 in words is "five hundred sixty-four thousand, five hundred twenty-nine".