657697 has 4 divisors (see below), whose sum is σ = 660016. Its totient is φ = 655380.

The previous prime is 657661. The next prime is 657703. The reversal of 657697 is 796756.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 657697 - 2¹¹ = 655649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (165004).

2⁶⁵⁷⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

657697 is a deficient number, since it is larger than the sum of its proper divisors (2319).

657697 is a wasteful number, since it uses less digits than its factorization.

657697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318.

The product of its digits is 79380, while the sum is 40.

The square root of 657697 is about 810.9852033175. The cubic root of 657697 is about 86.9644898459.

The spelling of 657697 in words is "six hundred fifty-seven thousand, six hundred ninety-seven".