53850 has 24 divisors (see below), whose sum is σ = 133920. Its totient is φ = 14320.

The previous prime is 53849. The next prime is 53857. The reversal of 53850 is 5835.

Added to its reverse (5835) it gives a triangular number (59685 = T₃₄₅).

53850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁵³⁸⁵⁰ is an apocalyptic number.

53850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

53850 is an abundant number, since it is smaller than the sum of its proper divisors (80070).

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

53850 is a wasteful number, since it uses less digits than its factorization.

53850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53850 is about 232.0560277174. The cubic root of 53850 is about 37.7626012344.

Adding to 53850 its reverse (5835), we get a triangular number (59685 = T₃₄₅).

It can be divided in two parts, 53 and 850, that added together give a triangular number (903 = T₄₂).

The spelling of 53850 in words is "fifty-three thousand, eight hundred fifty".