53200 has 60 divisors (see below), whose sum is σ = 153760. Its totient is φ = 17280.

The previous prime is 53197. The next prime is 53201. The reversal of 53200 is 235.

53200 = T₂₁ + T₂₂ + ... + T₆₈.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53201) 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, 2791 + ... + 2809.

2⁵³²⁰⁰ is an apocalyptic number.

53200 is a gapful number since it is divisible by the number (50) 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 53200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76880).

53200 is an abundant number, since it is smaller than the sum of its proper divisors (100560).

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

53200 is a wasteful number, since it uses less digits than its factorization.

53200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 53200 is about 230.6512518934. The cubic root of 53200 is about 37.6100471114.

Adding to 53200 its reverse (235), we get a palindrome (53435).

It can be divided in two parts, 53 and 200, that added together give a triangular number (253 = T₂₂).

The spelling of 53200 in words is "fifty-three thousand, two hundred".