533736 has 64 divisors (see below), whose sum is σ = 1699200. Its totient is φ = 152064.

The previous prime is 533723. The next prime is 533737. The reversal of 533736 is 637335.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (533737) by changing a digit.

533736 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 15 ways as a sum of consecutive naturals, for example, 1336 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (26550).

533736 is a Friedman number, since it can be written as 353*7*6^3, using all its digits and the basic arithmetic operations.

2⁵³³⁷³⁶ is an apocalyptic number.

533736 is a gapful number since it is divisible by the number (56) 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 533736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849600).

533736 is an abundant number, since it is smaller than the sum of its proper divisors (1165464).

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

533736 is a wasteful number, since it uses less digits than its factorization.

533736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 533736 is about 730.5723783445. The cubic root of 533736 is about 81.1164306402.

The spelling of 533736 in words is "five hundred thirty-three thousand, seven hundred thirty-six".