564993 has 24 divisors (see below), whose sum is σ = 960960. Its totient is φ = 315360.

The previous prime is 564989. The next prime is 564997. The reversal of 564993 is 399465.

564993 is a `hidden beast` number, since 5 + 649 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (564989) and next prime (564997).

It is not a de Polignac number, because 564993 - 2² = 564989 is a prime.

564993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (564997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2⁵⁶⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

564993 is a deficient number, since it is larger than the sum of its proper divisors (395967).

564993 is a wasteful number, since it uses less digits than its factorization.

564993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 564993 is about 751.6601625735. The cubic root of 564993 is about 82.6699526818.

The spelling of 564993 in words is "five hundred sixty-four thousand, nine hundred ninety-three".