57000617 has 2 divisors, whose sum is σ = 57000618. Its totient is φ = 57000616.

The previous prime is 57000583. The next prime is 57000637. The reversal of 57000617 is 71600075.

57000617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49294441 + 7706176 = 7021^2 + 2776^2 .

It is a cyclic number.

It is not a de Polignac number, because 57000617 - 2²⁰ = 55952041 is a prime.

It is not a weakly prime, because it can be changed into another prime (57000637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28500308 + 28500309.

It is an arithmetic number, because the mean of its divisors is an integer number (28500309).

Almost surely, 2^57000617 is an apocalyptic number.

It is an amenable number.

57000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

57000617 is an equidigital number, since it uses as much as digits as its factorization.

57000617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 57000617 is about 7549.8752969834. The cubic root of 57000617 is about 384.8515017339.

The spelling of 57000617 in words is "fifty-seven million, six hundred seventeen", and thus it is an aban number.