535952 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 241920.

The previous prime is 535943. The next prime is 535957. The reversal of 535952 is 259535.

It is not an unprimeable number, because it can be changed into a prime (535957) by changing a digit.

535952 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, 12443 + ... + 12485.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁵³⁵⁹⁵² 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 535952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

535952 is an abundant number, since it is smaller than the sum of its proper divisors (609808).

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

535952 is a wasteful number, since it uses less digits than its factorization.

535952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 535952 is about 732.0874264731. The cubic root of 535952 is about 81.2285371317.

The spelling of 535952 in words is "five hundred thirty-five thousand, nine hundred fifty-two".