533952 has 70 divisors (see below), whose sum is σ = 1598168. Its totient is φ = 176256.

The previous prime is 533927. The next prime is 533959. The reversal of 533952 is 259335.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533959) by changing a digit.

533952 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 9 ways as a sum of consecutive naturals, for example, 5133 + ... + 5235.

2⁵³³⁹⁵² 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 533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799084).

533952 is an abundant number, since it is smaller than the sum of its proper divisors (1064216).

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

533952 is a wasteful number, since it uses less digits than its factorization.

533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 533952 is about 730.7201926866. The cubic root of 533952 is about 81.1273716210.

It can be divided in two parts, 533 and 952, that added together give a triangular number (1485 = T₅₄).

The spelling of 533952 in words is "five hundred thirty-three thousand, nine hundred fifty-two".