1000004201 has 12 divisors (see below), whose sum is σ = 1165841748. Its totient is φ = 855251712.

The previous prime is 1000004123. The next prime is 1000004207. The reversal of 1000004201 is 1024000001.

It can be written as a sum of positive squares in 2 ways, for example, as 707560000 + 292444201 = 26600^2 + 17101^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1000004201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000004207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (97153479).

Almost surely, 2^1000004201 is an apocalyptic number.

It is an amenable number.

1000004201 is a deficient number, since it is larger than the sum of its proper divisors (165837547).

1000004201 is an equidigital number, since it uses as much as digits as its factorization.

1000004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45128 (or 45121 counting only the distinct ones).

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

The square root of 1000004201 is about 31622.8430252563. The cubic root of 1000004201 is about 1000.0014003314.

Adding to 1000004201 its reverse (1024000001), we get a palindrome (2024004202).

The spelling of 1000004201 in words is "one billion, four thousand, two hundred one".