9780964005 has 16 divisors (see below), whose sum is σ = 15681688704. Its totient is φ = 5205798720.

The previous prime is 9780963953. The next prime is 9780964007. The reversal of 9780964005 is 5004690879.

9780964005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9780964005 - 2¹⁰ = 9780962981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780964007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662166 + ... + 676775.

It is an arithmetic number, because the mean of its divisors is an integer number (980105544).

Almost surely, 2^9780964005 is an apocalyptic number.

It is an amenable number.

9780964005 is a deficient number, since it is larger than the sum of its proper divisors (5900724699).

9780964005 is a wasteful number, since it uses less digits than its factorization.

9780964005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339436.

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 9780964005 is about 98898.7563369732. The cubic root of 9780964005 is about 2138.5884659812.

It can be divided in two parts, 978096 and 4005, that added together give a triangular number (982101 = T₁₄₀₁).

The spelling of 9780964005 in words is "nine billion, seven hundred eighty million, nine hundred sixty-four thousand, five".