1006823973 has 16 divisors (see below), whose sum is σ = 1375362560. Its totient is φ = 654789744.

The previous prime is 1006823897. The next prime is 1006823977. The reversal of 1006823973 is 3793286001.

It is not a de Polignac number, because 1006823973 - 2⁸ = 1006823717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006823977) 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 15 ways as a sum of consecutive naturals, for example, 109488 + ... + 118326.

It is an arithmetic number, because the mean of its divisors is an integer number (85960160).

Almost surely, 2^1006823973 is an apocalyptic number.

It is an amenable number.

1006823973 is a deficient number, since it is larger than the sum of its proper divisors (368538587).

1006823973 is an equidigital number, since it uses as much as digits as its factorization.

1006823973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1006823973 is about 31730.4896432438. The cubic root of 1006823973 is about 1002.2695031258.

The spelling of 1006823973 in words is "one billion, six million, eight hundred twenty-three thousand, nine hundred seventy-three".