1005115323 has 16 divisors (see below), whose sum is σ = 1382122016. Its totient is φ = 649244160.

The previous prime is 1005115301. The next prime is 1005115339. The reversal of 1005115323 is 3235115001.

It is not a de Polignac number, because 1005115323 - 2⁵ = 1005115291 is a prime.

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 1005115323.

It is not an unprimeable number, because it can be changed into a prime (1005115393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7965 + ... + 45537.

It is an arithmetic number, because the mean of its divisors is an integer number (86382626).

Almost surely, 2^1005115323 is an apocalyptic number.

1005115323 is a deficient number, since it is larger than the sum of its proper divisors (377006693).

1005115323 is a wasteful number, since it uses less digits than its factorization.

1005115323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37854.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1005115323 is about 31703.5537913339. The cubic root of 1005115323 is about 1001.7022085088.

The spelling of 1005115323 in words is "one billion, five million, one hundred fifteen thousand, three hundred twenty-three".