657493 has 2 divisors, whose sum is σ = 657494. Its totient is φ = 657492.

The previous prime is 657491. The next prime is 657497. The reversal of 657493 is 394756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550564 + 106929 = 742^2 + 327^2 .

It is a cyclic number.

It is not a de Polignac number, because 657493 - 2¹ = 657491 is a prime.

Together with 657491, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657491) 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 as a sum of consecutive naturals, namely, 328746 + 328747.

It is an arithmetic number, because the mean of its divisors is an integer number (328747).

2⁶⁵⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

657493 is a deficient number, since it is larger than the sum of its proper divisors (1).

657493 is an equidigital number, since it uses as much as digits as its factorization.

657493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 34.

The square root of 657493 is about 810.8594206149. The cubic root of 657493 is about 86.9554975640.

The spelling of 657493 in words is "six hundred fifty-seven thousand, four hundred ninety-three".