1005960385 has 12 divisors (see below), whose sum is σ = 1247354964. Its totient is φ = 778804320.

The previous prime is 1005960353. The next prime is 1005960419. The reversal of 1005960385 is 5830695001.

It can be written as a sum of positive squares in 2 ways, for example, as 347114161 + 658846224 = 18631^2 + 25668^2 .

It is not a de Polignac number, because 1005960385 - 2⁵ = 1005960353 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99874 + ... + 109483.

It is an arithmetic number, because the mean of its divisors is an integer number (103946247).

Almost surely, 2^1005960385 is an apocalyptic number.

It is an amenable number.

1005960385 is a deficient number, since it is larger than the sum of its proper divisors (241394579).

1005960385 is an equidigital number, since it uses as much as digits as its factorization.

1005960385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209424 (or 209393 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1005960385 is about 31716.8785507023. The cubic root of 1005960385 is about 1001.9828606649.

The spelling of 1005960385 in words is "one billion, five million, nine hundred sixty thousand, three hundred eighty-five".