53816 has 24 divisors (see below), whose sum is σ = 119160. Its totient is φ = 22320.

The previous prime is 53813. The next prime is 53819. The reversal of 53816 is 61835.

It is an interprime number because it is at equal distance from previous prime (53813) and next prime (53819).

Its product of digits (720) is a multiple of the sum of its prime divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 53791 and 53800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53813) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1721 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (4965).

2⁵³⁸¹⁶ is an apocalyptic number.

53816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59580).

53816 is an abundant number, since it is smaller than the sum of its proper divisors (65344).

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

53816 is a wasteful number, since it uses less digits than its factorization.

53816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 53816 is about 231.9827579800. The cubic root of 53816 is about 37.7546520004.

The spelling of 53816 in words is "fifty-three thousand, eight hundred sixteen".