180921 has 8 divisors (see below), whose sum is σ = 259840. Its totient is φ = 111312.

The previous prime is 180907. The next prime is 180949. The reversal of 180921 is 129081.

180921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 180921 - 2⁷ = 180793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180921.

It is not an unprimeable number, because it can be changed into a prime (180221) 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, 2281 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (32480).

2¹⁸⁰⁹²¹ is an apocalyptic number.

It is an amenable number.

180921 is a deficient number, since it is larger than the sum of its proper divisors (78919).

180921 is a wasteful number, since it uses less digits than its factorization.

180921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 180921 is about 425.3480927429. The cubic root of 180921 is about 56.5582973079.

It can be divided in two parts, 1809 and 21, that added together give a triangular number (1830 = T₆₀).

The spelling of 180921 in words is "one hundred eighty thousand, nine hundred twenty-one".