531144 has 32 divisors (see below), whose sum is σ = 1476000. Its totient is φ = 176976.

The previous prime is 531143. The next prime is 531163. The reversal of 531144 is 441135.

It is a happy number.

It is a super-2 number, since 2×531144² = 564227897472, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531144.

It is not an unprimeable number, because it can be changed into a prime (531143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (46125).

2⁵³¹¹⁴⁴ is an apocalyptic number.

531144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

531144 is an abundant number, since it is smaller than the sum of its proper divisors (944856).

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

531144 is a wasteful number, since it uses less digits than its factorization.

531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2464 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 531144 is about 728.7962678280. The cubic root of 531144 is about 80.9849080250.

Adding to 531144 its reverse (441135), we get a palindrome (972279).

Subtracting from 531144 its reverse (441135), we obtain a palindrome (90009).

The spelling of 531144 in words is "five hundred thirty-one thousand, one hundred forty-four".