830321 has 4 divisors (see below), whose sum is σ = 838644. Its totient is φ = 822000.

The previous prime is 830311. The next prime is 830327. The reversal of 830321 is 123038.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123038 = 2 ⋅61519.

It can be written as a sum of positive squares in 2 ways, for example, as 790321 + 40000 = 889^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 830321 - 2⁶ = 830257 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 830321.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830321.

It is not an unprimeable number, because it can be changed into a prime (830327) 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, 4010 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (209661).

2⁸³⁰³²¹ is an apocalyptic number.

It is an amenable number.

830321 is a deficient number, since it is larger than the sum of its proper divisors (8323).

830321 is a wasteful number, since it uses less digits than its factorization.

830321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 830321 is about 911.2195125215. The cubic root of 830321 is about 93.9900774195.

Adding to 830321 its reverse (123038), we get a palindrome (953359).

The spelling of 830321 in words is "eight hundred thirty thousand, three hundred twenty-one".