4097579617 has 2 divisors, whose sum is σ = 4097579618. Its totient is φ = 4097579616.

The previous prime is 4097579561. The next prime is 4097579687. The reversal of 4097579617 is 7169757904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2154445056 + 1943134561 = 46416^2 + 44081^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097579617 - 2¹¹ = 4097577569 is a prime.

It is not a weakly prime, because it can be changed into another prime (4097579687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048789808 + 2048789809.

It is an arithmetic number, because the mean of its divisors is an integer number (2048789809).

Almost surely, 2^4097579617 is an apocalyptic number.

It is an amenable number.

4097579617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097579617 is an equidigital number, since it uses as much as digits as its factorization.

4097579617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The square root of 4097579617 is about 64012.3395682426. The cubic root of 4097579617 is about 1600.2056528626.

The spelling of 4097579617 in words is "four billion, ninety-seven million, five hundred seventy-nine thousand, six hundred seventeen".