557906 has 16 divisors (see below), whose sum is σ = 903960. Its totient is φ = 257280.

The previous prime is 557903. The next prime is 557927. The reversal of 557906 is 609755.

557906 = 64² + 65² + ... + 124².

It can be written as a sum of positive squares in 4 ways, for example, as 265225 + 292681 = 515^2 + 541^2 .

It is a super-2 number, since 2×557906² = 622518209672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557903) 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 in 7 ways as a sum of consecutive naturals, for example, 1940 + ... + 2208.

2⁵⁵⁷⁹⁰⁶ is an apocalyptic number.

557906 is a deficient number, since it is larger than the sum of its proper divisors (346054).

557906 is a wasteful number, since it uses less digits than its factorization.

557906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 557906 is about 746.9310543819. The cubic root of 557906 is about 82.3228399192.

The spelling of 557906 in words is "five hundred fifty-seven thousand, nine hundred six".