4097688289 has 2 divisors, whose sum is σ = 4097688290. Its totient is φ = 4097688288.

The previous prime is 4097688263. The next prime is 4097688293. The reversal of 4097688289 is 9828867904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 664225 = 64008^2 + 815^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097688289 - 2¹⁵ = 4097655521 is a prime.

It is not a weakly prime, because it can be changed into another prime (4097688229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048844144 + 2048844145.

It is an arithmetic number, because the mean of its divisors is an integer number (2048844145).

Almost surely, 2^4097688289 is an apocalyptic number.

It is an amenable number.

4097688289 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097688289 is an equidigital number, since it uses as much as digits as its factorization.

4097688289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 61.

The square root of 4097688289 is about 64013.1883989542. The cubic root of 4097688289 is about 1600.2197991007.

The spelling of 4097688289 in words is "four billion, ninety-seven million, six hundred eighty-eight thousand, two hundred eighty-nine".