493657 has 2 divisors, whose sum is σ = 493658. Its totient is φ = 493656.

The previous prime is 493643. The next prime is 493693. The reversal of 493657 is 756394.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 175561 = 564^2 + 419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-493657 is a prime.

It is an Ulam number.

493657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (493607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 246828 + 246829.

It is an arithmetic number, because the mean of its divisors is an integer number (246829).

2⁴⁹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

493657 is a deficient number, since it is larger than the sum of its proper divisors (1).

493657 is an equidigital number, since it uses as much as digits as its factorization.

493657 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 493657 is about 702.6072871811. The cubic root of 493657 is about 79.0329937493.

The spelling of 493657 in words is "four hundred ninety-three thousand, six hundred fifty-seven".