180565 has 24 divisors (see below), whose sum is σ = 279072. Its totient is φ = 110880.

The previous prime is 180563. The next prime is 180569. The reversal of 180565 is 565081.

It is not a de Polignac number, because 180565 - 2¹ = 180563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180563) 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, 2662 + ... + 2728.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2¹⁸⁰⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

180565 is a deficient number, since it is larger than the sum of its proper divisors (98507).

180565 is a wasteful number, since it uses less digits than its factorization.

180565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 180565 is about 424.9294059017. The cubic root of 180565 is about 56.5211761800.

The spelling of 180565 in words is "one hundred eighty thousand, five hundred sixty-five".