180345 has 16 divisors (see below), whose sum is σ = 315072. Its totient is φ = 87360.

The previous prime is 180337. The next prime is 180347. The reversal of 180345 is 543081.

It is not a de Polignac number, because 180345 - 2³ = 180337 is a prime.

It is a d-powerful number, because it can be written as 1 + 8 + 3¹¹ + 0 + 4³ + 5⁵ .

It is not an unprimeable number, because it can be changed into a prime (180347) 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, 382 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (19692).

2¹⁸⁰³⁴⁵ is an apocalyptic number.

180345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180345 is a deficient number, since it is larger than the sum of its proper divisors (134727).

180345 is a wasteful number, since it uses less digits than its factorization.

180345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 180345 is about 424.6704604749. The cubic root of 180345 is about 56.4982117585.

It can be divided in two parts, 180 and 345, that added together give a palindrome (525).

The spelling of 180345 in words is "one hundred eighty thousand, three hundred forty-five".