564001 has 3 divisors (see below), whose sum is σ = 564753. Its totient is φ = 563250.
The previous prime is 563999. The next prime is 564013. The reversal of 564001 is 100465.
The square root of 564001 is 751.
It is a perfect power (a square), and thus also a powerful number.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.
It is not a de Polignac number, because 564001 - 21 = 563999 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (564041) by changing a digit.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 376 + ... + 1126.
It is an arithmetic number, because the mean of its divisors is an integer number (188251).
2564001 is an apocalyptic number.
564001 is the 751-st square number.
564001 is the 376-th centered octagonal number.
It is an amenable number.
564001 is a deficient number, since it is larger than the sum of its proper divisors (752).
564001 is an frugal number, since it uses more digits than its factorization.
564001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1502 (or 751 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The cubic root of 564001 is about 82.6215410873.
Multiplying 564001 by its sum of digits (16), we get a square (9024016 = 30042).
Adding to 564001 its reverse (100465), we get a palindrome (664466).
The spelling of 564001 in words is "five hundred sixty-four thousand, one".
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