53882 has 8 divisors (see below), whose sum is σ = 83700. Its totient is φ = 25984.

The previous prime is 53881. The next prime is 53887. The reversal of 53882 is 28835.

53882 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 48841 + 5041 = 221^2 + 71^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 5⁴ + 3² + 8⁴ + 8⁵ + 2¹⁴ .

53882 is an undulating number in base 9.

Its product of digits (1920) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (53881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 522.

2⁵³⁸⁸² is an apocalyptic number.

53882 is a deficient number, since it is larger than the sum of its proper divisors (29818).

53882 is a wasteful number, since it uses less digits than its factorization.

53882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 1920, while the sum is 26.

The square root of 53882 is about 232.1249663436. The cubic root of 53882 is about 37.7700798105.

The spelling of 53882 in words is "fifty-three thousand, eight hundred eighty-two".