657113 has 2 divisors, whose sum is σ = 657114. Its totient is φ = 657112.

The previous prime is 657091. The next prime is 657121. The reversal of 657113 is 311756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 635209 + 21904 = 797^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 657113 - 2⁶ = 657049 is a prime.

It is not a weakly prime, because it can be changed into another prime (657193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328556 + 328557.

It is an arithmetic number, because the mean of its divisors is an integer number (328557).

2⁶⁵⁷¹¹³ is an apocalyptic number.

It is an amenable number.

657113 is a deficient number, since it is larger than the sum of its proper divisors (1).

657113 is an equidigital number, since it uses as much as digits as its factorization.

657113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 657113 is about 810.6250674634. The cubic root of 657113 is about 86.9387422744.

Adding to 657113 its reverse (311756), we get a palindrome (968869).

The spelling of 657113 in words is "six hundred fifty-seven thousand, one hundred thirteen".