532992 has 40 divisors (see below), whose sum is σ = 1424016. Its totient is φ = 177152.

The previous prime is 532981. The next prime is 532993. The reversal of 532992 is 299235.

It is a d-powerful number, because it can be written as 5 + 3⁸ + 9 + 2¹¹ + 9² + 2¹⁹ .

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (532993) by changing a digit.

532992 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1363 + ... + 1709.

2⁵³²⁹⁹² 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 532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712008).

532992 is an abundant number, since it is smaller than the sum of its proper divisors (891024).

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

532992 is an equidigital number, since it uses as much as digits as its factorization.

532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 532992 is about 730.0630109792. The cubic root of 532992 is about 81.0787224299.

It can be divided in two parts, 53299 and 2, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 532992 in words is "five hundred thirty-two thousand, nine hundred ninety-two".