561132 has 72 divisors (see below), whose sum is σ = 1681680. Its totient is φ = 155520.

The previous prime is 561109. The next prime is 561161. The reversal of 561132 is 231165.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5094 + ... + 5202.

2⁵⁶¹¹³² is an apocalyptic number.

561132 is a gapful number since it is divisible by the number (52) 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 561132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840840).

561132 is an abundant number, since it is smaller than the sum of its proper divisors (1120548).

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

561132 is a wasteful number, since it uses less digits than its factorization.

561132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 561132 is about 749.0874448287. The cubic root of 561132 is about 82.4812078410.

Adding to 561132 its reverse (231165), we get a palindrome (792297).

The spelling of 561132 in words is "five hundred sixty-one thousand, one hundred thirty-two".