180505 has 8 divisors (see below), whose sum is σ = 233352. Its totient is φ = 133248.

The previous prime is 180503. The next prime is 180511. The reversal of 180505 is 505081.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 179776 = 27^2 + 424^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 180505 - 2¹ = 180503 is a prime.

It is a Duffinian number.

180505 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (180503) 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, 1324 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (29169).

2¹⁸⁰⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

180505 is a deficient number, since it is larger than the sum of its proper divisors (52847).

180505 is a wasteful number, since it uses less digits than its factorization.

180505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 180505 is about 424.8588000736. The cubic root of 180505 is about 56.5149150067.

Adding to 180505 its reverse (505081), we get a palindrome (685586).

The spelling of 180505 in words is "one hundred eighty thousand, five hundred five".