4565 has 8 divisors (see below), whose sum is σ = 6048. Its totient is φ = 3280.

The previous prime is 4561. The next prime is 4567. The reversal of 4565 is 5654.

4565 = 38² + 39² + 40².

4565 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 4565 - 2² = 4561 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a partition number, being equal to the number of ways a set of 29 identical objects can be partitioned into subset.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

It is an amenable number.

4565 is a deficient number, since it is larger than the sum of its proper divisors (1483).

4565 is a wasteful number, since it uses less digits than its factorization.

4565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its digits is 600, while the sum is 20.

The square root of 4565 is about 67.5647837264. The cubic root of 4565 is about 16.5887473940.

Subtracting 4565 from its reverse (5654), we obtain a square (1089 = 33²).

The spelling of 4565 in words is "four thousand, five hundred sixty-five".