531312 has 20 divisors (see below), whose sum is σ = 1372680. Its totient is φ = 177088.

The previous prime is 531299. The next prime is 531331. The reversal of 531312 is 213135.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 531291 and 531300.

It is a congruent number.

It is an unprimeable number.

531312 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 3 ways as a sum of consecutive naturals, for example, 5487 + ... + 5582.

It is an arithmetic number, because the mean of its divisors is an integer number (68634).

2⁵³¹³¹² is an apocalyptic number.

It is an amenable number.

531312 is an abundant number, since it is smaller than the sum of its proper divisors (841368).

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

531312 is a wasteful number, since it uses less digits than its factorization.

531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 11074 counting only the distinct ones).

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

The square root of 531312 is about 728.9115172639. The cubic root of 531312 is about 80.9934455907.

Adding to 531312 its reverse (213135), we get a palindrome (744447).

The spelling of 531312 in words is "five hundred thirty-one thousand, three hundred twelve".