53784 has 40 divisors (see below), whose sum is σ = 152460. Its totient is φ = 17712.

The previous prime is 53783. The next prime is 53791. The reversal of 53784 is 48735.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53783) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 607 + ... + 689.

2⁵³⁷⁸⁴ is an apocalyptic number.

53784 is a gapful number since it is divisible by the number (54) 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 53784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230).

53784 is an abundant number, since it is smaller than the sum of its proper divisors (98676).

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

53784 is a wasteful number, since it uses less digits than its factorization.

53784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 53784 is about 231.9137770811. The cubic root of 53784 is about 37.7471673093.

It can be divided in two parts, 5378 and 4, that multiplied together give a palindrome (21512).

The spelling of 53784 in words is "fifty-three thousand, seven hundred eighty-four".