1003001 has 2 divisors, whose sum is σ = 1003002. Its totient is φ = 1003000.

The previous prime is 1002979. The next prime is 1003003.

1003001 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., 900601 + 102400 = 949^2 + 320^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1003001 - 2¹⁰ = 1001977 is a prime.

It is a super-2 number, since 2×1003001² = 2012022012002, which contains 22 as substring.

Together with 1003003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1003003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501500 + 501501.

It is an arithmetic number, because the mean of its divisors is an integer number (501501).

2^1003001 is an apocalyptic number.

It is an amenable number.

1003001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003001 is an equidigital number, since it uses as much as digits as its factorization.

1003001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1003001 is about 1001.4993759359. The cubic root of 1003001 is about 100.0999334332.

The spelling of 1003001 in words is "one million, three thousand, one".