53830 has 16 divisors (see below), whose sum is σ = 110880. Its totient is φ = 18432.

The previous prime is 53819. The next prime is 53831. The reversal of 53830 is 3835.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 53798 and 53807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53831) by changing a digit.

53830 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 7 ways as a sum of consecutive naturals, for example, 315 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁵³⁸³⁰ is an apocalyptic number.

53830 is an abundant number, since it is smaller than the sum of its proper divisors (57050).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

53830 is a wasteful number, since it uses less digits than its factorization.

53830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783.

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

The square root of 53830 is about 232.0129306741. The cubic root of 53830 is about 37.7579256198.

The spelling of 53830 in words is "fifty-three thousand, eight hundred thirty".