531132 has 24 divisors (see below), whose sum is σ = 1416576. Its totient is φ = 151728.

The previous prime is 531121. The next prime is 531133. The reversal of 531132 is 231135.

531132 = 59² + 60² + ... + 121².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531133) by changing a digit.

531132 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 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (59024).

2⁵³¹¹³² is an apocalyptic number.

It is an amenable number.

531132 is an abundant number, since it is smaller than the sum of its proper divisors (885444).

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

531132 is a wasteful number, since it uses less digits than its factorization.

531132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6335 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 531132 is about 728.7880350280. The cubic root of 531132 is about 80.9842981300.

Adding to 531132 its reverse (231135), we get a palindrome (762267).

The spelling of 531132 in words is "five hundred thirty-one thousand, one hundred thirty-two".