557693 has 2 divisors, whose sum is σ = 557694. Its totient is φ = 557692.

The previous prime is 557671. The next prime is 557717. The reversal of 557693 is 396755.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 466489 + 91204 = 683^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 557693 - 2¹⁴ = 541309 is a prime.

It is a super-2 number, since 2×557693² = 622042964498, which contains 22 as substring.

It is a Chen prime.

It is equal to p₄₅₈₉₉ and since 557693 and 45899 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (557633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278846 + 278847.

It is an arithmetic number, because the mean of its divisors is an integer number (278847).

2⁵⁵⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

557693 is a deficient number, since it is larger than the sum of its proper divisors (1).

557693 is an equidigital number, since it uses as much as digits as its factorization.

557693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28350, while the sum is 35.

The square root of 557693 is about 746.7884573291. The cubic root of 557693 is about 82.3123620509.

The spelling of 557693 in words is "five hundred fifty-seven thousand, six hundred ninety-three".