1006403321 has 8 divisors (see below), whose sum is σ = 1254736704. Its totient is φ = 784210320.

The previous prime is 1006403311. The next prime is 1006403369. The reversal of 1006403321 is 1233046001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006403321 - 2¹⁰ = 1006402297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006403293 and 1006403302.

It is not an unprimeable number, because it can be changed into a prime (1006403311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6535010 + ... + 6535163.

It is an arithmetic number, because the mean of its divisors is an integer number (156842088).

Almost surely, 2^1006403321 is an apocalyptic number.

1006403321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006403321 is a deficient number, since it is larger than the sum of its proper divisors (248333383).

1006403321 is a wasteful number, since it uses less digits than its factorization.

1006403321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070191.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1006403321 is about 31723.8604365862. The cubic root of 1006403321 is about 1002.1299006359.

Adding to 1006403321 its reverse (1233046001), we get a palindrome (2239449322).

The spelling of 1006403321 in words is "one billion, six million, four hundred three thousand, three hundred twenty-one".