180705 has 16 divisors (see below), whose sum is σ = 330624. Its totient is φ = 82560.

The previous prime is 180701. The next prime is 180731. The reversal of 180705 is 507081.

It is a happy number.

It is not a de Polignac number, because 180705 - 2² = 180701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

180705 is a lucky number.

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 180705.

It is not an unprimeable number, because it can be changed into a prime (180701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2¹⁸⁰⁷⁰⁵ is an apocalyptic number.

180705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180705 is a deficient number, since it is larger than the sum of its proper divisors (149919).

180705 is a wasteful number, since it uses less digits than its factorization.

180705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 180705 is about 425.0941072280. The cubic root of 180705 is about 56.5357801923.

Adding to 180705 its reverse (507081), we get a palindrome (687786).

The spelling of 180705 in words is "one hundred eighty thousand, seven hundred five".