564961 has 8 divisors (see below), whose sum is σ = 604800. Its totient is φ = 525888.

The previous prime is 564959. The next prime is 564973. The reversal of 564961 is 169465.

564961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 564961 - 2¹ = 564959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2740 + ... + 2938.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2⁵⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

564961 is a deficient number, since it is larger than the sum of its proper divisors (39839).

564961 is a wasteful number, since it uses less digits than its factorization.

564961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 6480, while the sum is 31.

The square root of 564961 is about 751.6388760568. The cubic root of 564961 is about 82.6683919024.

The spelling of 564961 in words is "five hundred sixty-four thousand, nine hundred sixty-one".