180338 has 8 divisors (see below), whose sum is σ = 277932. Its totient is φ = 87696.

The previous prime is 180337. The next prime is 180347. The reversal of 180338 is 833081.

180338 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 139129 + 41209 = 373^2 + 203^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180331) 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 3 ways as a sum of consecutive naturals, for example, 1145 + ... + 1292.

2¹⁸⁰³³⁸ is an apocalyptic number.

180338 is a deficient number, since it is larger than the sum of its proper divisors (97594).

180338 is a wasteful number, since it uses less digits than its factorization.

180338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 180338 is about 424.6622187104. The cubic root of 180338 is about 56.4974807658.

The spelling of 180338 in words is "one hundred eighty thousand, three hundred thirty-eight".