52784 has 10 divisors (see below), whose sum is σ = 102300. Its totient is φ = 26384.

The previous prime is 52783. The next prime is 52807. The reversal of 52784 is 48725.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (52783) by changing a digit.

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 as a sum of consecutive naturals, namely, 1634 + ... + 1665.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2⁵²⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

52784 is a deficient number, since it is larger than the sum of its proper divisors (49516).

52784 is a wasteful number, since it uses less digits than its factorization.

52784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3301 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 52784 is about 229.7476876924. The cubic root of 52784 is about 37.5117592751.

It can be divided in two parts, 5278 and 4, that multiplied together give a palindrome (21112).

The spelling of 52784 in words is "fifty-two thousand, seven hundred eighty-four".