557633 has 2 divisors, whose sum is σ = 557634. Its totient is φ = 557632.

The previous prime is 557611. The next prime is 557639. The reversal of 557633 is 336755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485809 + 71824 = 697^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 557633 - 2⁸ = 557377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 557596 and 557605.

It is not a weakly prime, because it can be changed into another prime (557639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278816 + 278817.

It is an arithmetic number, because the mean of its divisors is an integer number (278817).

2⁵⁵⁷⁶³³ is an apocalyptic number.

It is an amenable number.

557633 is a deficient number, since it is larger than the sum of its proper divisors (1).

557633 is an equidigital number, since it uses as much as digits as its factorization.

557633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 29.

The square root of 557633 is about 746.7482842297. The cubic root of 557633 is about 82.3094100571.

The spelling of 557633 in words is "five hundred fifty-seven thousand, six hundred thirty-three".