1004729921 has 16 divisors (see below), whose sum is σ = 1097869248. Its totient is φ = 913944000.

The previous prime is 1004729867. The next prime is 1004729927. The reversal of 1004729921 is 1299274001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1004729921 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004729927) 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 15 ways as a sum of consecutive naturals, for example, 296366 + ... + 299736.

It is an arithmetic number, because the mean of its divisors is an integer number (68616828).

Almost surely, 2^1004729921 is an apocalyptic number.

It is an amenable number.

1004729921 is a deficient number, since it is larger than the sum of its proper divisors (93139327).

1004729921 is a wasteful number, since it uses less digits than its factorization.

1004729921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1004729921 is about 31697.4749940748. The cubic root of 1004729921 is about 1001.5741610501.

The spelling of 1004729921 in words is "one billion, four million, seven hundred twenty-nine thousand, nine hundred twenty-one".