180049 has 4 divisors (see below), whose sum is σ = 180900. Its totient is φ = 179200.

The previous prime is 180043. The next prime is 180053. The reversal of 180049 is 940081.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 940081 = 103 ⋅9127.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 25600 = 393^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 180049 - 2¹¹ = 178001 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180043) 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 3 ways as a sum of consecutive naturals, for example, 177 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (45225).

2¹⁸⁰⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

180049 is a deficient number, since it is larger than the sum of its proper divisors (851).

180049 is an equidigital number, since it uses as much as digits as its factorization.

180049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 180049 is about 424.3218118363. The cubic root of 180049 is about 56.4672846864.

It can be divided in two parts, 1800 and 49, that added together give a square (1849 = 43²).

The spelling of 180049 in words is "one hundred eighty thousand, forty-nine".