557307 has 8 divisors (see below), whose sum is σ = 825680. Its totient is φ = 371520.

The previous prime is 557303. The next prime is 557309. The reversal of 557307 is 703755.

It is not a de Polignac number, because 557307 - 2² = 557303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 20641 = 557307 / (5 + 5 + 7 + 3 + 0 + 7).

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (557303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10294 + ... + 10347.

It is an arithmetic number, because the mean of its divisors is an integer number (103210).

2⁵⁵⁷³⁰⁷ is an apocalyptic number.

557307 is a deficient number, since it is larger than the sum of its proper divisors (268373).

557307 is a wasteful number, since it uses less digits than its factorization.

557307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 557307 is about 746.5299726066. The cubic root of 557307 is about 82.2933671888.

The spelling of 557307 in words is "five hundred fifty-seven thousand, three hundred seven".