801001 has 2 divisors, whose sum is σ = 801002. Its totient is φ = 801000.

The previous prime is 800999. The next prime is 801007. The reversal of 801001 is 100108.

801001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 469225 + 331776 = 685^2 + 576^2 .

It is a cyclic number.

It is not a de Polignac number, because 801001 - 2¹ = 800999 is a prime.

Together with 800999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (801007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400500 + 400501.

It is an arithmetic number, because the mean of its divisors is an integer number (400501).

2⁸⁰¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

801001 is a deficient number, since it is larger than the sum of its proper divisors (1).

801001 is an equidigital number, since it uses as much as digits as its factorization.

801001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 801001 is about 894.9865920783. The cubic root of 801001 is about 92.8704791214.

Adding to 801001 its reverse (100108), we get a palindrome (901109).

It can be divided in two parts, 80 and 1001, that added together give a triangular number (1081 = T₄₆).

The spelling of 801001 in words is "eight hundred one thousand, one".