53384 has 8 divisors (see below), whose sum is σ = 100110. Its totient is φ = 26688.

The previous prime is 53381. The next prime is 53401. The reversal of 53384 is 48335.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 484 = 230^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53381) by changing a digit.

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 as a sum of consecutive naturals, namely, 3329 + ... + 3344.

2⁵³³⁸⁴ is an apocalyptic number.

It is an amenable number.

53384 is a deficient number, since it is larger than the sum of its proper divisors (46726).

53384 is a wasteful number, since it uses less digits than its factorization.

53384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6675 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 53384 is about 231.0497781864. The cubic root of 53384 is about 37.6533571723.

Subtracting from 53384 its sum of digits (23), we obtain a square (53361 = 231²).

The spelling of 53384 in words is "fifty-three thousand, three hundred eighty-four".