1000001 has 4 divisors (see below), whose sum is σ = 1010004. Its totient is φ = 990000.

The previous prime is 999983. The next prime is 1000003.

1000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10⁶+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 39601 = 980^2 + 199^2 .

It is a sliding number, since 1000001 = 1 + 1000000 and 1/1 + 1/1000000 = 1.000001.

It is a cyclic number.

It is not a de Polignac number, because 1000001 - 2¹⁴ = 983617 is a prime.

1000001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 999955 and 1000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4850 + ... + 5051.

It is an arithmetic number, because the mean of its divisors is an integer number (252501).

2^1000001 is an apocalyptic number.

It is an amenable number.

1000001 is a deficient number, since it is larger than the sum of its proper divisors (10003).

1000001 is an equidigital number, since it uses as much as digits as its factorization.

1000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000001 is about 1000.0004999999. Note that the first 3 decimals coincide. The cubic root of 1000001 is about 100.0000333333. Note that the first 4 decimals are identical.

It can be divided in two parts, 100000 and 1, that added together give a palindrome (100001).

The spelling of 1000001 in words is "one million, one", and thus it is an aban number and an uban number.