1005764282884 has 27 divisors (see below), whose sum is σ = 1822978447381. Its totient is φ = 485513297360.

The previous prime is 1005764282881. The next prime is 1005764282891. The reversal of 1005764282884 is 4882824675001.

The square root of 1005764282884 is 1002878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 527398393284 + 478365889600 = 726222^2 + 691640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005764282881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58158279 + ... + 58175569.

Almost surely, 2^{1005764282884} is an apocalyptic number.

1005764282884 is the 1002878-th square number.

It is an amenable number.

1005764282884 is a deficient number, since it is larger than the sum of its proper divisors (817214164497).

1005764282884 is an frugal number, since it uses more digits than its factorization.

1005764282884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34644 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 1005764282884 in words is "one trillion, five billion, seven hundred sixty-four million, two hundred eighty-two thousand, eight hundred eighty-four".