844001 has 2 divisors, whose sum is σ = 844002. Its totient is φ = 844000.

The previous prime is 843911. The next prime is 844013. The reversal of 844001 is 100448.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 664225 + 179776 = 815^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 844001 - 2¹⁰ = 842977 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 844001.

It is not a weakly prime, because it can be changed into another prime (844061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422000 + 422001.

It is an arithmetic number, because the mean of its divisors is an integer number (422001).

2⁸⁴⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

844001 is a deficient number, since it is larger than the sum of its proper divisors (1).

844001 is an equidigital number, since it uses as much as digits as its factorization.

844001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 844001 is about 918.6952704787. The cubic root of 844001 is about 94.5034478926.

Adding to 844001 its reverse (100448), we get a palindrome (944449).

The spelling of 844001 in words is "eight hundred forty-four thousand, one".