532100 has 36 divisors (see below), whose sum is σ = 1226484. Its totient is φ = 199680.

The previous prime is 532099. The next prime is 532141. The reversal of 532100 is 1235.

It can be written as a sum of positive squares in 6 ways, for example, as 61504 + 470596 = 248^2 + 686^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1544 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (34069).

2⁵³²¹⁰⁰ is an apocalyptic number.

532100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613242).

532100 is an abundant number, since it is smaller than the sum of its proper divisors (694384).

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

532100 is a wasteful number, since it uses less digits than its factorization.

532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 532100 is about 729.4518489935. The cubic root of 532100 is about 81.0334668392.

Adding to 532100 its reverse (1235), we get a palindrome (533335).

The spelling of 532100 in words is "five hundred thirty-two thousand, one hundred".