180829 has 8 divisors (see below), whose sum is σ = 209088. Its totient is φ = 154560.

The previous prime is 180811. The next prime is 180847. The reversal of 180829 is 928081.

180829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180811) and next prime (180847).

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

It is a cyclic number.

It is not a de Polignac number, because 180829 - 2⁵ = 180797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 180797 and 180806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2¹⁸⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

180829 is a deficient number, since it is larger than the sum of its proper divisors (28259).

180829 is a wasteful number, since it uses less digits than its factorization.

180829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 180829 is about 425.2399322735. The cubic root of 180829 is about 56.5487088769.

The spelling of 180829 in words is "one hundred eighty thousand, eight hundred twenty-nine".