533312 has 28 divisors (see below), whose sum is σ = 1141476. Its totient is φ = 245760.

The previous prime is 533303. The next prime is 533317. The reversal of 533312 is 213335.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 246016 = 536^2 + 496^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533317) by changing a digit.

533312 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (40767).

2⁵³³³¹² is an apocalyptic number.

533312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570738).

533312 is an abundant number, since it is smaller than the sum of its proper divisors (608164).

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

533312 is a wasteful number, since it uses less digits than its factorization.

533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 533312 is about 730.2821372593. The cubic root of 533312 is about 81.0949453129.

Adding to 533312 its reverse (213335), we get a palindrome (746647).

The spelling of 533312 in words is "five hundred thirty-three thousand, three hundred twelve".