180005 has 16 divisors (see below), whose sum is σ = 255360. Its totient is φ = 119232.

The previous prime is 180001. The next prime is 180007. The reversal of 180005 is 500081.

180005 = 54² + 55² + ... + 88².

It is a cyclic number.

It is not a de Polignac number, because 180005 - 2² = 180001 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180001) 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, 1226 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁸⁰⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

180005 is a deficient number, since it is larger than the sum of its proper divisors (75355).

180005 is a wasteful number, since it uses less digits than its factorization.

180005 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 (nonzero) digits is 40, while the sum is 14.

The square root of 180005 is about 424.2699612275. The cubic root of 180005 is about 56.4626845258.

Adding to 180005 its reverse (500081), we get a palindrome (680086).

It can be divided in two parts, 18000 and 5, that multiplied together give a square (90000 = 300²).

The spelling of 180005 in words is "one hundred eighty thousand, five".