53922 has 32 divisors (see below), whose sum is σ = 126720. Its totient is φ = 15120.

The previous prime is 53917. The next prime is 53923. The reversal of 53922 is 22935.

53922 is an undulating number in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53922.

It is not an unprimeable number, because it can be changed into a prime (53923) by changing a digit.

53922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2⁵³⁹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

53922 is an abundant number, since it is smaller than the sum of its proper divisors (72798).

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

53922 is a wasteful number, since it uses less digits than its factorization.

53922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its digits is 540, while the sum is 21.

The square root of 53922 is about 232.2111108453. The cubic root of 53922 is about 37.7794238678.

It can be divided in two parts, 539 and 22, that added together give a triangular number (561 = T₃₃).

The spelling of 53922 in words is "fifty-three thousand, nine hundred twenty-two".