657313 has 2 divisors, whose sum is σ = 657314. Its totient is φ = 657312.

The previous prime is 657311. The next prime is 657323. The reversal of 657313 is 313756.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 91809 = 752^2 + 303^2 .

It is a cyclic number.

It is not a de Polignac number, because 657313 - 2¹ = 657311 is a prime.

Together with 657311, it forms a pair of twin primes.

657313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (657311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328656 + 328657.

It is an arithmetic number, because the mean of its divisors is an integer number (328657).

2⁶⁵⁷³¹³ is an apocalyptic number.

It is an amenable number.

657313 is a deficient number, since it is larger than the sum of its proper divisors (1).

657313 is an equidigital number, since it uses as much as digits as its factorization.

657313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 25.

The square root of 657313 is about 810.7484196716. The cubic root of 657313 is about 86.9475616529.

The spelling of 657313 in words is "six hundred fifty-seven thousand, three hundred thirteen".