657041 has 24 divisors (see below), whose sum is σ = 886464. Its totient is φ = 480480.

The previous prime is 657029. The next prime is 657047. The reversal of 657041 is 140756.

It is not a de Polignac number, because 657041 - 2⁶ = 656977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 656998 and 657016.

It is not an unprimeable number, because it can be changed into a prime (657047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12371 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (36936).

2⁶⁵⁷⁰⁴¹ is an apocalyptic number.

It is an amenable number.

657041 is a deficient number, since it is larger than the sum of its proper divisors (229423).

657041 is a wasteful number, since it uses less digits than its factorization.

657041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 657041 is about 810.5806560732. The cubic root of 657041 is about 86.9355668601.

Adding to 657041 its reverse (140756), we get a palindrome (797797).

The spelling of 657041 in words is "six hundred fifty-seven thousand, forty-one".