657085 has 16 divisors (see below), whose sum is σ = 927360. Its totient is φ = 440640.

The previous prime is 657079. The next prime is 657089. The reversal of 657085 is 580756.

657085 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 657085 - 2¹¹ = 655037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2⁶⁵⁷⁰⁸⁵ is an apocalyptic number.

657085 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

657085 is a deficient number, since it is larger than the sum of its proper divisors (270275).

657085 is a wasteful number, since it uses less digits than its factorization.

657085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 657085 is about 810.6077966563. The cubic root of 657085 is about 86.9375074186.

The spelling of 657085 in words is "six hundred fifty-seven thousand, eighty-five".