657601 has 8 divisors (see below), whose sum is σ = 772160. Its totient is φ = 548208.

The previous prime is 657589. The next prime is 657607. The reversal of 657601 is 106756.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 657601 - 2⁷ = 657473 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 7 ways as a sum of consecutive naturals, for example, 1011 + ... + 1528.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

2⁶⁵⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

657601 is a deficient number, since it is larger than the sum of its proper divisors (114559).

657601 is a wasteful number, since it uses less digits than its factorization.

657601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 657601 is about 810.9260138878. The cubic root of 657601 is about 86.9602584155.

The spelling of 657601 in words is "six hundred fifty-seven thousand, six hundred one".