53484 has 12 divisors (see below), whose sum is σ = 124824. Its totient is φ = 17824.

The previous prime is 53479. The next prime is 53503. The reversal of 53484 is 48435.

It is a happy number.

53484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 5 + 3⁹ + 4 + 8⁵ + 4⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2217 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (10402).

2⁵³⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

53484 is an abundant number, since it is smaller than the sum of its proper divisors (71340).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62412).

53484 is a wasteful number, since it uses less digits than its factorization.

53484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4462 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 53484 is about 231.2660805220. The cubic root of 53484 is about 37.6768535199.

It can be divided in two parts, 53 and 484, that multiplied together give a palindrome (25652).

The spelling of 53484 in words is "fifty-three thousand, four hundred eighty-four".