9782782001 has 2 divisors, whose sum is σ = 9782782002. Its totient is φ = 9782782000.

The previous prime is 9782781991. The next prime is 9782782133. The reversal of 9782782001 is 1002872879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8222136976 + 1560645025 = 90676^2 + 39505^2 .

It is a cyclic number.

It is not a de Polignac number, because 9782782001 - 2¹⁰ = 9782780977 is a prime.

It is not a weakly prime, because it can be changed into another prime (9782782501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4891391000 + 4891391001.

It is an arithmetic number, because the mean of its divisors is an integer number (4891391001).

Almost surely, 2^9782782001 is an apocalyptic number.

It is an amenable number.

9782782001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9782782001 is an equidigital number, since it uses as much as digits as its factorization.

9782782001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 9782782001 is about 98907.9471073988. The cubic root of 9782782001 is about 2138.7209581846.

The spelling of 9782782001 in words is "nine billion, seven hundred eighty-two million, seven hundred eighty-two thousand, one".