48321 has 24 divisors (see below), whose sum is σ = 87360. Its totient is φ = 25056.

The previous prime is 48313. The next prime is 48337. The reversal of 48321 is 12384.

It is a happy number.

48321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48321 - 2³ = 48313 is a prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 48294 and 48303.

It is not an unprimeable number, because it can be changed into a prime (48311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁴⁸³²¹ is an apocalyptic number.

It is an amenable number.

48321 is a deficient number, since it is larger than the sum of its proper divisors (39039).

48321 is a wasteful number, since it uses less digits than its factorization.

48321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 48321 is about 219.8203812207. The cubic root of 48321 is about 36.4232452256.

Subtracting from 48321 its reverse (12384), we obtain a cube (35937 = 33³).

The spelling of 48321 in words is "forty-eight thousand, three hundred twenty-one".