557634 has 64 divisors (see below), whose sum is σ = 1492992. Its totient is φ = 134400.

The previous prime is 557633. The next prime is 557639. The reversal of 557634 is 436755.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557633) 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 31 ways as a sum of consecutive naturals, for example, 7819 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2⁵⁵⁷⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496).

557634 is an abundant number, since it is smaller than the sum of its proper divisors (935358).

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

557634 is a wasteful number, since it uses less digits than its factorization.

557634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its digits is 12600, while the sum is 30.

The square root of 557634 is about 746.7489537991. The cubic root of 557634 is about 82.3094592587.

The spelling of 557634 in words is "five hundred fifty-seven thousand, six hundred thirty-four".