32565 has 16 divisors (see below), whose sum is σ = 56448. Its totient is φ = 15936.

The previous prime is 32563. The next prime is 32569. The reversal of 32565 is 56523.

It is not a de Polignac number, because 32565 - 2¹ = 32563 is a prime.

It is a d-powerful number, because it can be written as 3 + 2⁴ + 5⁶ + 6⁴ + 5⁶ .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32565.

It is not an unprimeable number, because it can be changed into a prime (32561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

32565 is a deficient number, since it is larger than the sum of its proper divisors (23883).

32565 is a wasteful number, since it uses less digits than its factorization.

32565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 900, while the sum is 21.

The square root of 32565 is about 180.4577512882. The cubic root of 32565 is about 31.9337823410.

Multiplying 32565 by its sum of digits (21), we get a triangular number (683865 = T₁₁₆₉).

The spelling of 32565 in words is "thirty-two thousand, five hundred sixty-five".