564367 has 2 divisors, whose sum is σ = 564368. Its totient is φ = 564366.

The previous prime is 564359. The next prime is 564371. The reversal of 564367 is 763465.

564367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 564367 - 2³ = 564359 is a prime.

It is a super-4 number, since 4×564367⁴ (a number of 24 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 5⁵ + 6⁷ + 3 + 4⁵ + 6⁷ + 7³ .

564367 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564367.

It is not a weakly prime, because it can be changed into another prime (564307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282183 + 282184.

It is an arithmetic number, because the mean of its divisors is an integer number (282184).

2⁵⁶⁴³⁶⁷ is an apocalyptic number.

564367 is a deficient number, since it is larger than the sum of its proper divisors (1).

564367 is an equidigital number, since it uses as much as digits as its factorization.

564367 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 31.

The square root of 564367 is about 751.2436355804. The cubic root of 564367 is about 82.6394092266.

The spelling of 564367 in words is "five hundred sixty-four thousand, three hundred sixty-seven".