657417641 has 2 divisors, whose sum is σ = 657417642. Its totient is φ = 657417640.

The previous prime is 657417619. The next prime is 657417667. The reversal of 657417641 is 146714756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 441210025 + 216207616 = 21005^2 + 14704^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-657417641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (657419641) 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, 328708820 + 328708821.

It is an arithmetic number, because the mean of its divisors is an integer number (328708821).

Almost surely, 2^657417641 is an apocalyptic number.

It is an amenable number.

657417641 is a deficient number, since it is larger than the sum of its proper divisors (1).

657417641 is an equidigital number, since it uses as much as digits as its factorization.

657417641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 41.

The square root of 657417641 is about 25640.1568052927. The cubic root of 657417641 is about 869.5217528292.

The spelling of 657417641 in words is "six hundred fifty-seven million, four hundred seventeen thousand, six hundred forty-one".