531432 has 72 divisors (see below), whose sum is σ = 1607970. Its totient is φ = 158400.

The previous prime is 531383. The next prime is 531457. The reversal of 531432 is 234135.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 4356 = 726^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 3, base 9 and base 11.

It is a zygodrome in base 3 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531432.

It is an unprimeable number.

531432 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 17 ways as a sum of consecutive naturals, for example, 8682 + ... + 8742.

531432 is a Friedman number, since it can be written as (3^3)^4-5*2+1, using all its digits and the basic arithmetic operations.

2⁵³¹⁴³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803985).

531432 is an abundant number, since it is smaller than the sum of its proper divisors (1076538).

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

531432 is a wasteful number, since it uses less digits than its factorization.

531432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 531432 is about 728.9938271344. The cubic root of 531432 is about 80.9995427500. Note that the first 3 decimals are identical.

Adding to 531432 its reverse (234135), we get a palindrome (765567).

It can be divided in two parts, 53 and 1432, that added together give a triangular number (1485 = T₅₄).

The spelling of 531432 in words is "five hundred thirty-one thousand, four hundred thirty-two".