531284 has 24 divisors (see below), whose sum is σ = 1061928. Its totient is φ = 230400.

The previous prime is 531281. The next prime is 531287. The reversal of 531284 is 482135.

It is an interprime number because it is at equal distance from previous prime (531281) and next prime (531287).

It can be written as a sum of positive squares in 4 ways, for example, as 136900 + 394384 = 370^2 + 628^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531284.

It is not an unprimeable number, because it can be changed into a prime (531281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (44247).

531284 is a Friedman number, since it can be written as 34*(5^(8-2)+1), using all its digits and the basic arithmetic operations.

2⁵³¹²⁸⁴ is an apocalyptic number.

It is an amenable number.

531284 is a deficient number, since it is larger than the sum of its proper divisors (530644).

531284 is a wasteful number, since it uses less digits than its factorization.

531284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 531284 is about 728.8923102901. The cubic root of 531284 is about 80.9920227880.

The spelling of 531284 in words is "five hundred thirty-one thousand, two hundred eighty-four".