971638004089 has 9 divisors (see below), whose sum is σ = 998645718861. Its totient is φ = 945342031680.

The previous prime is 971638004033. The next prime is 971638004201. The reversal of 971638004089 is 980400836179.

The square root of 971638004089 is 985717.

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

971638004089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5954437225 + 965683566864 = 77165^2 + 982692^2 .

It is not a de Polignac number, because 971638004089 - 2¹³ = 971637995897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (971638004989) 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, 36458209 + ... + 36484849.

It is an arithmetic number, because the mean of its divisors is an integer number (110960635429).

Almost surely, 2^971638004089 is an apocalyptic number.

971638004089 is the 985717-th square number.

971638004089 is the 492859-th centered octagonal number.

It is an amenable number.

971638004089 is a deficient number, since it is larger than the sum of its proper divisors (27007714772).

971638004089 is an frugal number, since it uses more digits than its factorization.

971638004089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53356 (or 26678 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 971638004089 in words is "nine hundred seventy-one billion, six hundred thirty-eight million, four thousand, eighty-nine".