1008001 has 2 divisors, whose sum is σ = 1008002. Its totient is φ = 1008000.

The previous prime is 1007977. The next prime is 1008013.

1008001 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998001 + 10000 = 999^2 + 100^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1008001 - 2⁷ = 1007873 is a prime.

1008001 is a strobogrammatic number because it is the same when read upside-down.

1008001 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1008031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504000 + 504001.

It is an arithmetic number, because the mean of its divisors is an integer number (504001).

2^1008001 is an apocalyptic number.

It is an amenable number.

1008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008001 is an equidigital number, since it uses as much as digits as its factorization.

1008001 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1008001 is about 1003.9925298527. The cubic root of 1008001 is about 100.2659918560.

The spelling of 1008001 in words is "one million, eight thousand, one".