1034329921 has 9 divisors (see below), whose sum is σ = 1072193161. Its totient is φ = 997762864.

The previous prime is 1034329909. The next prime is 1034329937. The reversal of 1034329921 is 1299234301.

The square root of 1034329921 is 32161.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 362483521 + 671846400 = 19039^2 + 25920^2 .

It is not a de Polignac number, because 1034329921 - 2²⁹ = 497459009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1034329951) 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 8 ways as a sum of consecutive naturals, for example, 932115 + ... + 933223.

Almost surely, 2^1034329921 is an apocalyptic number.

1034329921 is the 32161-st square number.

1034329921 is the 16081-st centered octagonal number.

It is an amenable number.

1034329921 is a deficient number, since it is larger than the sum of its proper divisors (37863240).

1034329921 is an frugal number, since it uses more digits than its factorization.

1034329921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 1034329921 is about 1011.3147994554.

Multiplying 1034329921 by its product of nonzero digits (11664), we get a square (12064424198544 = 3473388²).

The spelling of 1034329921 in words is "one billion, thirty-four million, three hundred twenty-nine thousand, nine hundred twenty-one".