842321 has 2 divisors, whose sum is σ = 842322. Its totient is φ = 842320.

The previous prime is 842311. The next prime is 842323. The reversal of 842321 is 123248.

842321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 555025 + 287296 = 745^2 + 536^2 .

It is a cyclic number.

It is not a de Polignac number, because 842321 - 2¹⁰ = 841297 is a prime.

Together with 842323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 842293 and 842302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842321.

It is not a weakly prime, because it can be changed into another prime (842323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 421160 + 421161.

It is an arithmetic number, because the mean of its divisors is an integer number (421161).

2⁸⁴²³²¹ is an apocalyptic number.

It is an amenable number.

842321 is a deficient number, since it is larger than the sum of its proper divisors (1).

842321 is an equidigital number, since it uses as much as digits as its factorization.

842321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 20.

The square root of 842321 is about 917.7804748413. The cubic root of 842321 is about 94.4407026071.

Adding to 842321 its reverse (123248), we get a palindrome (965569).

The spelling of 842321 in words is "eight hundred forty-two thousand, three hundred twenty-one".