1007001 has 12 divisors (see below), whose sum is σ = 1490580. Its totient is φ = 654720.

The previous prime is 1006991. The next prime is 1007021.

1007001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 488601 = 720^2 + 699^2 .

It is not a de Polignac number, because 1007001 - 2⁵ = 1006969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1007001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1007021) 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 in 11 ways as a sum of consecutive naturals, for example, 996 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

2^1007001 is an apocalyptic number.

It is an amenable number.

1007001 is a deficient number, since it is larger than the sum of its proper divisors (483579).

1007001 is a wasteful number, since it uses less digits than its factorization.

1007001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1007001 is about 1003.4943946032. The cubic root of 1007001 is about 100.2328241750.

The spelling of 1007001 in words is "one million, seven thousand, one".