800441 has 2 divisors, whose sum is σ = 800442. Its totient is φ = 800440.

The previous prime is 800419. The next prime is 800447. The reversal of 800441 is 144008.

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., 606841 + 193600 = 779^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 800441 - 2¹⁰ = 799417 is a prime.

It is a plaindrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (800447) 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 as a sum of consecutive naturals, namely, 400220 + 400221.

It is an arithmetic number, because the mean of its divisors is an integer number (400221).

2⁸⁰⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

800441 is a deficient number, since it is larger than the sum of its proper divisors (1).

800441 is an equidigital number, since it uses as much as digits as its factorization.

800441 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 800441 is about 894.6736835294. The cubic root of 800441 is about 92.8488313778.

Adding to 800441 its reverse (144008), we get a palindrome (944449).

The spelling of 800441 in words is "eight hundred thousand, four hundred forty-one".