1009997984 has 24 divisors (see below), whose sum is σ = 2021034708. Its totient is φ = 496719360.

The previous prime is 1009997981. The next prime is 1009998001. The reversal of 1009997984 is 4897999001.

It can be written as a sum of positive squares in 2 ways, for example, as 1009968400 + 29584 = 31780^2 + 172^2 .

It is not an unprimeable number, because it can be changed into a prime (1009997981) 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 3 ways as a sum of consecutive naturals, for example, 256757 + ... + 260660.

Almost surely, 2^1009997984 is an apocalyptic number.

It is an amenable number.

1009997984 is an abundant number, since it is smaller than the sum of its proper divisors (1011036724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009997984 is an equidigital number, since it uses as much as digits as its factorization.

1009997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517488 (or 517480 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 56.

The square root of 1009997984 is about 31780.4654465601. The cubic root of 1009997984 is about 1003.3216159846.

The spelling of 1009997984 in words is "one billion, nine million, nine hundred ninety-seven thousand, nine hundred eighty-four".