53380 has 24 divisors (see below), whose sum is σ = 119448. Its totient is φ = 19968.

The previous prime is 53377. The next prime is 53381. The reversal of 53380 is 8335.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 46656 = 82^2 + 216^2 .

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 in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (4977).

2⁵³³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724).

53380 is an abundant number, since it is smaller than the sum of its proper divisors (66068).

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

53380 is a wasteful number, since it uses less digits than its factorization.

53380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 53380 is about 231.0411218809. The cubic root of 53380 is about 37.6524167083.

Subtracting from 53380 its sum of digits (19), we obtain a square (53361 = 231²).

It can be divided in two parts, 5 and 3380, that multiplied together give a square (16900 = 130²).

The spelling of 53380 in words is "fifty-three thousand, three hundred eighty".