53824 has 21 divisors (see below), whose sum is σ = 110617. Its totient is φ = 25984.

The previous prime is 53819. The next prime is 53831. The reversal of 53824 is 42835.

53824 = T₂₃₁ + T₂₃₂.

The square root of 53824 is 232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 25600 = 168^2 + 160^2 .

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 53795 and 53804.

It is an unprimeable 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 2 ways as a sum of consecutive naturals, for example, 1842 + ... + 1870.

53824 is a Friedman number, since it can be written as (8*(34-5))^2, using all its digits and the basic arithmetic operations.

2⁵³⁸²⁴ is an apocalyptic number.

53824 is the 232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53824

53824 is an abundant number, since it is smaller than the sum of its proper divisors (56793).

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

53824 is an equidigital number, since it uses as much as digits as its factorization.

53824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The cubic root of 53824 is about 37.7565227096.

It can be divided in two parts, 5382 and 4, that multiplied together give a triangular number (21528 = T₂₀₇).

The spelling of 53824 in words is "fifty-three thousand, eight hundred twenty-four".