564761 has 2 divisors, whose sum is σ = 564762. Its totient is φ = 564760.

The previous prime is 564713. The next prime is 564779. The reversal of 564761 is 167465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547600 + 17161 = 740^2 + 131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-564761 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564761.

It is not a weakly prime, because it can be changed into another prime (564701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282380 + 282381.

It is an arithmetic number, because the mean of its divisors is an integer number (282381).

2⁵⁶⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

564761 is a deficient number, since it is larger than the sum of its proper divisors (1).

564761 is an equidigital number, since it uses as much as digits as its factorization.

564761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 564761 is about 751.5058216674. The cubic root of 564761 is about 82.6586356951.

The spelling of 564761 in words is "five hundred sixty-four thousand, seven hundred sixty-one".