564465 has 24 divisors (see below), whose sum is σ = 995904. Its totient is φ = 272800.

The previous prime is 564463. The next prime is 564467.

564465 is nontrivially palindromic in base 10.

564465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564463) and next prime (564467).

It is not a de Polignac number, because 564465 - 2¹ = 564463 is a prime.

It is a Curzon number.

564465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (564463) 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, 1660 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁵⁶⁴⁴⁶⁵ is an apocalyptic number.

564465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564465 is a deficient number, since it is larger than the sum of its proper divisors (431439).

564465 is a wasteful number, since it uses less digits than its factorization.

564465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 564465 is about 751.3088579273. The cubic root of 564465 is about 82.6441922805.

The spelling of 564465 in words is "five hundred sixty-four thousand, four hundred sixty-five".