30321 has 8 divisors (see below), whose sum is σ = 44960. Its totient is φ = 20196.

The previous prime is 30319. The next prime is 30323. The reversal of 30321 is 12303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30319) and next prime (30323).

It is not a de Polignac number, because 30321 - 2¹ = 30319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30321.

It is not an unprimeable number, because it can be changed into a prime (30323) 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, 535 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (5620).

2³⁰³²¹ is an apocalyptic number.

It is an amenable number.

30321 is a deficient number, since it is larger than the sum of its proper divisors (14639).

30321 is a wasteful number, since it uses less digits than its factorization.

30321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30321 is about 174.1292623312. The cubic root of 30321 is about 31.1827567441.

Subtracting from 30321 its product of nonzero digits (18), we obtain a palindrome (30303).

Adding to 30321 its reverse (12303), we get a palindrome (42624).

It can be divided in two parts, 303 and 21, that added together give a square (324 = 18²).

The spelling of 30321 in words is "thirty thousand, three hundred twenty-one".