532952 has 32 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 220320.

The previous prime is 532951. The next prime is 532981. The reversal of 532952 is 259235.

It is a d-powerful number, because it can be written as 5² + 3¹² + 9² + 2⁸ + 5³ + 2¹⁰ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532951) 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, 1583 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁵³²⁹⁵² 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 532952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

532952 is an abundant number, since it is smaller than the sum of its proper divisors (649768).

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

532952 is a wasteful number, since it uses less digits than its factorization.

532952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 532952 is about 730.0356155695. The cubic root of 532952 is about 81.0766941130.

The spelling of 532952 in words is "five hundred thirty-two thousand, nine hundred fifty-two".