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800801 is a prime number
BaseRepresentation
bin11000011100000100001
31111200111022
43003200201
5201111201
625055225
76543461
oct3034041
91450438
10800801
114a7721
12327515
13220661
1416bba1
1510c41b
hexc3821

800801 has 2 divisors, whose sum is σ = 800802. Its totient is φ = 800800.

The previous prime is 800783. The next prime is 800861. The reversal of 800801 is 108008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 160801 = 800^2 + 401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-800801 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800801.

It is not a weakly prime, because it can be changed into another prime (800861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400400 + 400401.

It is an arithmetic number, because the mean of its divisors is an integer number (400401).

2800801 is an apocalyptic number.

It is an amenable number.

800801 is a deficient number, since it is larger than the sum of its proper divisors (1).

800801 is an equidigital number, since it uses as much as digits as its factorization.

800801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 800801 is about 894.8748515854. The cubic root of 800801 is about 92.8627489430.

Adding to 800801 its reverse (108008), we get a palindrome (908809).

The spelling of 800801 in words is "eight hundred thousand, eight hundred one".