6801001 has 2 divisors, whose sum is σ = 6801002. Its totient is φ = 6801000.

The previous prime is 6800999. The next prime is 6801023. The reversal of 6801001 is 1001086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 1155625 = 2376^2 + 1075^2 .

It is a cyclic number.

It is not a de Polignac number, because 6801001 - 2¹ = 6800999 is a prime.

It is a super-2 number, since 2×6801001² = 92507229204002, which contains 22 as substring.

Together with 6800999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (6801061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3400500 + 3400501.

It is an arithmetic number, because the mean of its divisors is an integer number (3400501).

Almost surely, 2^6801001 is an apocalyptic number.

It is an amenable number.

6801001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6801001 is an equidigital number, since it uses as much as digits as its factorization.

6801001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 6801001 is about 2607.8728880066. The cubic root of 6801001 is about 189.4629432115.

Adding to 6801001 its reverse (1001086), we get a palindrome (7802087).

It can be divided in two parts, 680 and 1001, that added together give a square (1681 = 41²).

The spelling of 6801001 in words is "six million, eight hundred one thousand, one".