564972 has 36 divisors (see below), whose sum is σ = 1393560. Its totient is φ = 178112.

The previous prime is 564959. The next prime is 564973. The reversal of 564972 is 279465.

It is not an unprimeable number, because it can be changed into a prime (564973) by changing a digit.

564972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6304 + ... + 6392.

It is an arithmetic number, because the mean of its divisors is an integer number (38710).

2⁵⁶⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696780).

564972 is an abundant number, since it is smaller than the sum of its proper divisors (828588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564972 is a wasteful number, since it uses less digits than its factorization.

564972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 564972 is about 751.6461933649. The cubic root of 564972 is about 82.6689284270.

The spelling of 564972 in words is "five hundred sixty-four thousand, nine hundred seventy-two".