1000071945 has 48 divisors (see below), whose sum is σ = 1753803792. Its totient is φ = 527155200.

The previous prime is 1000071929. The next prime is 1000071967. The reversal of 1000071945 is 5491700001.

It can be written as a sum of positive squares in 8 ways, for example, as 13860729 + 986211216 = 3723^2 + 31404^2 .

It is not a de Polignac number, because 1000071945 - 2⁴ = 1000071929 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493745 + ... + 2494145.

It is an arithmetic number, because the mean of its divisors is an integer number (36537579).

Almost surely, 2^1000071945 is an apocalyptic number.

1000071945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000071945 is a deficient number, since it is larger than the sum of its proper divisors (753731847).

1000071945 is a wasteful number, since it uses less digits than its factorization.

1000071945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1000071945 is about 31623.9141315556. The cubic root of 1000071945 is about 1000.0239810916.

Adding to 1000071945 its reverse (5491700001), we get a palindrome (6491771946).

The spelling of 1000071945 in words is "one billion, seventy-one thousand, nine hundred forty-five".