180162 has 12 divisors (see below), whose sum is σ = 390390. Its totient is φ = 60048.

The previous prime is 180161. The next prime is 180179. The reversal of 180162 is 261081.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 84681 = 309^2 + 291^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 10009 = 180162 / (1 + 8 + 0 + 1 + 6 + 2).

180162 is a modest number, since divided by 162 gives 18 as remainder.

It is not an unprimeable number, because it can be changed into a prime (180161) 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 5 ways as a sum of consecutive naturals, for example, 4987 + ... + 5022.

2¹⁸⁰¹⁶² is an apocalyptic number.

180162 is an abundant number, since it is smaller than the sum of its proper divisors (210228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180162 is a wasteful number, since it uses less digits than its factorization.

180162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 180162 is about 424.4549446054. The cubic root of 180162 is about 56.4790953023.

The spelling of 180162 in words is "one hundred eighty thousand, one hundred sixty-two".