1005328823 has 4 divisors (see below), whose sum is σ = 1009837248. Its totient is φ = 1000820400.

The previous prime is 1005328801. The next prime is 1005328829. The reversal of 1005328823 is 3288235001.

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

It is a cyclic number.

It is not a de Polignac number, because 1005328823 - 2⁸ = 1005328567 is a prime.

It is a super-3 number, since 3×1005328823³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005328823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005328829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2253878 + ... + 2254323.

It is an arithmetic number, because the mean of its divisors is an integer number (252459312).

Almost surely, 2^1005328823 is an apocalyptic number.

1005328823 is a deficient number, since it is larger than the sum of its proper divisors (4508425).

1005328823 is an equidigital number, since it uses as much as digits as its factorization.

1005328823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508424.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1005328823 is about 31706.9207429545. The cubic root of 1005328823 is about 1001.7731284905.

The spelling of 1005328823 in words is "one billion, five million, three hundred twenty-eight thousand, eight hundred twenty-three".