8000401 has 2 divisors, whose sum is σ = 8000402. Its totient is φ = 8000400.

The previous prime is 8000359. The next prime is 8000407. The reversal of 8000401 is 1040008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7924225 + 76176 = 2815^2 + 276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8000401 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000407) 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, 4000200 + 4000201.

It is an arithmetic number, because the mean of its divisors is an integer number (4000201).

Almost surely, 2^8000401 is an apocalyptic number.

It is an amenable number.

8000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000401 is an equidigital number, since it uses as much as digits as its factorization.

8000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8000401 is about 2828.4980113127. The cubic root of 8000401 is about 200.0033416108.

Adding to 8000401 its reverse (1040008), we get a palindrome (9040409).

The spelling of 8000401 in words is "eight million, four hundred one", and thus it is an aban number.