53792 has 18 divisors (see below), whose sum is σ = 108549. Its totient is φ = 26240.

The previous prime is 53791. The next prime is 53813. The reversal of 53792 is 29735.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 15376 = 196^2 + 124^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=164.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (53791) 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 2 ways as a sum of consecutive naturals, for example, 1292 + ... + 1332.

2⁵³⁷⁹² 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 53792

53792 is an abundant number, since it is smaller than the sum of its proper divisors (54757).

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

53792 is an equidigital number, since it uses as much as digits as its factorization.

53792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 53792 is about 231.9310242292. The cubic root of 53792 is about 37.7490387604.

The spelling of 53792 in words is "fifty-three thousand, seven hundred ninety-two".