657116217 has 24 divisors (see below), whose sum is σ = 981127680. Its totient is φ = 423571680.

The previous prime is 657116203. The next prime is 657116221. The reversal of 657116217 is 712611756.

657116217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 657116217 - 2¹¹ = 657114169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (657116267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22248 + ... + 42534.

It is an arithmetic number, because the mean of its divisors is an integer number (40880320).

Almost surely, 2^657116217 is an apocalyptic number.

It is an amenable number.

657116217 is a deficient number, since it is larger than the sum of its proper divisors (324011463).

657116217 is a wasteful number, since it uses less digits than its factorization.

657116217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20413 (or 20410 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 657116217 is about 25634.2781642082. The cubic root of 657116217 is about 869.3888414827.

The spelling of 657116217 in words is "six hundred fifty-seven million, one hundred sixteen thousand, two hundred seventeen".