557032 has 40 divisors (see below), whose sum is σ = 1260450. Its totient is φ = 230496.

The previous prime is 557027. The next prime is 557033. The reversal of 557032 is 230755.

It can be written as a sum of positive squares in only one way, i.e., 470596 + 86436 = 686^2 + 294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 556994 and 557012.

It is not an unprimeable number, because it can be changed into a prime (557033) by changing a digit.

557032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19194 + ... + 19222.

2⁵⁵⁷⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630225).

557032 is an abundant number, since it is smaller than the sum of its proper divisors (703418).

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

557032 is an equidigital number, since it uses as much as digits as its factorization.

557032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 557032 is about 746.3457643747. The cubic root of 557032 is about 82.2798292290.

Adding to 557032 its reverse (230755), we get a palindrome (787787).

It can be divided in two parts, 55 and 7032, that multiplied together give a triangular number (386760 = T₈₇₉).

The spelling of 557032 in words is "five hundred fifty-seven thousand, thirty-two".