45565 has 8 divisors (see below), whose sum is σ = 58968. Its totient is φ = 33600.

The previous prime is 45557. The next prime is 45569. The reversal of 45565 is 56554.

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 40804 = 69^2 + 202^2 .

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

It is not a de Polignac number, because 45565 - 2³ = 45557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45569) 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁴⁵⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

45565 is a deficient number, since it is larger than the sum of its proper divisors (13403).

45565 is a wasteful number, since it uses less digits than its factorization.

45565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its digits is 3000, while the sum is 25.

The square root of 45565 is about 213.4595980508. The cubic root of 45565 is about 35.7171769088.

It can be divided in two parts, 45 and 565, that multiplied together give a triangular number (25425 = T₂₂₅).

The spelling of 45565 in words is "forty-five thousand, five hundred sixty-five".