657131 has 2 divisors, whose sum is σ = 657132. Its totient is φ = 657130.

The previous prime is 657127. The next prime is 657187. The reversal of 657131 is 131756.

657131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 657131 - 2² = 657127 is a prime.

It is a super-2 number, since 2×657131² = 863642302322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 657097 and 657106.

It is not a weakly prime, because it can be changed into another prime (657121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328565 + 328566.

It is an arithmetic number, because the mean of its divisors is an integer number (328566).

2⁶⁵⁷¹³¹ is an apocalyptic number.

657131 is a deficient number, since it is larger than the sum of its proper divisors (1).

657131 is an equidigital number, since it uses as much as digits as its factorization.

657131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 23.

The square root of 657131 is about 810.6361699308. The cubic root of 657131 is about 86.9395360917.

Adding to 657131 its reverse (131756), we get a palindrome (788887).

The spelling of 657131 in words is "six hundred fifty-seven thousand, one hundred thirty-one".