533104 has 40 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 222720.

The previous prime is 533089. The next prime is 533111. The reversal of 533104 is 401335.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

533104 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 7 ways as a sum of consecutive naturals, for example, 2172 + ... + 2404.

2⁵³³¹⁰⁴ 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 533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

533104 is an abundant number, since it is smaller than the sum of its proper divisors (685568).

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

533104 is a wasteful number, since it uses less digits than its factorization.

533104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 533104 is about 730.1397126578. The cubic root of 533104 is about 81.0844011774.

Adding to 533104 its reverse (401335), we get a palindrome (934439).

Subtracting from 533104 its reverse (401335), we obtain a square (131769 = 363²).

The spelling of 533104 in words is "five hundred thirty-three thousand, one hundred four".