531792 has 40 divisors (see below), whose sum is σ = 1527680. Its totient is φ = 177120.

The previous prime is 531731. The next prime is 531793. The reversal of 531792 is 297135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

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 531792.

It is not an unprimeable number, because it can be changed into a prime (531793) by changing a digit.

531792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 184 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2⁵³¹⁷⁹² 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 531792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763840).

531792 is an abundant number, since it is smaller than the sum of its proper divisors (995888).

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

531792 is a wasteful number, since it uses less digits than its factorization.

531792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 531792 is about 729.2407010034. The cubic root of 531792 is about 81.0178287229.

The spelling of 531792 in words is "five hundred thirty-one thousand, seven hundred ninety-two".