557712 has 40 divisors (see below), whose sum is σ = 1602080. Its totient is φ = 185760.

The previous prime is 557693. The next prime is 557717. The reversal of 557712 is 217755.

It is a super-2 number, since 2×557712² = 622085349888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (557717) 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 in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (40052).

2⁵⁵⁷⁷¹² is an apocalyptic number.

It is an amenable number.

557712 is an abundant number, since it is smaller than the sum of its proper divisors (1044368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557712 is a wasteful number, since it uses less digits than its factorization.

557712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 557712 is about 746.8011783601. The cubic root of 557712 is about 82.3132968048.

The spelling of 557712 in words is "five hundred fifty-seven thousand, seven hundred twelve".