1006729441 has 3 divisors (see below), whose sum is σ = 1006761171. Its totient is φ = 1006697712.

The previous prime is 1006729439. The next prime is 1006729453. The reversal of 1006729441 is 1449276001.

The square root of 1006729441 is 31729.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1449276001 = 641 ⋅2260961.

It can be written as a sum of positive squares in only one way, i.e., 956603041 + 50126400 = 30929^2 + 7080^2 .

It is not a de Polignac number, because 1006729441 - 2¹ = 1006729439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006729397 and 1006729406.

It is not an unprimeable number, because it can be changed into a prime (1006799441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15865 + ... + 47593.

It is an arithmetic number, because the mean of its divisors is an integer number (335587057).

Almost surely, 2^1006729441 is an apocalyptic number.

1006729441 is the 31729-th square number.

1006729441 is the 15865-th centered octagonal number.

It is an amenable number.

1006729441 is a deficient number, since it is larger than the sum of its proper divisors (31730).

1006729441 is an frugal number, since it uses more digits than its factorization.

1006729441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63458 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 1006729441 is about 1002.2381340190.

The spelling of 1006729441 in words is "one billion, six million, seven hundred twenty-nine thousand, four hundred forty-one".