976893047641 has 45 divisors (see below), whose sum is σ = 1192704652671. Its totient is φ = 800017683696.

The previous prime is 976893047609. The next prime is 976893047681. The reversal of 976893047641 is 146740398679.

The square root of 976893047641 is 988379.

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., 823075345225 + 153817702416 = 907235^2 + 392196^2 .

It is not a de Polignac number, because 976893047641 - 2⁵ = 976893047609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (976893047681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1113902695 + ... + 1113903571.

Almost surely, 2^976893047641 is an apocalyptic number.

976893047641 is the 988379-th square number.

976893047641 is the 494190-th centered octagonal number.

It is an amenable number.

976893047641 is a deficient number, since it is larger than the sum of its proper divisors (215811605030).

976893047641 is an frugal number, since it uses more digits than its factorization.

976893047641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 976893047641 by its sum of digits (64), we get a square (62521155049024 = 7907032²).

The spelling of 976893047641 in words is "nine hundred seventy-six billion, eight hundred ninety-three million, forty-seven thousand, six hundred forty-one".