1004205121 has 4 divisors (see below), whose sum is σ = 1004373972. Its totient is φ = 1004036272.

The previous prime is 1004205109. The next prime is 1004205133. The reversal of 1004205121 is 1215024001.

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

It is an interprime number because it is at equal distance from previous prime (1004205109) and next prime (1004205133).

It can be written as a sum of positive squares in 2 ways, for example, as 187388721 + 816816400 = 13689^2 + 28580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004205121 - 2⁹ = 1004204609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004205095 and 1004205104.

It is not an unprimeable number, because it can be changed into a prime (1004205421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75166 + ... + 87511.

It is an arithmetic number, because the mean of its divisors is an integer number (251093493).

Almost surely, 2^1004205121 is an apocalyptic number.

It is an amenable number.

1004205121 is a deficient number, since it is larger than the sum of its proper divisors (168851).

1004205121 is an equidigital number, since it uses as much as digits as its factorization.

1004205121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168850.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1004205121 is about 31689.1956508839. The cubic root of 1004205121 is about 1001.3997467947.

Adding to 1004205121 its reverse (1215024001), we get a palindrome (2219229122).

The spelling of 1004205121 in words is "one billion, four million, two hundred five thousand, one hundred twenty-one".