83300 has 54 divisors (see below), whose sum is σ = 222642. Its totient is φ = 26880.

The previous prime is 83299. The next prime is 83311. The reversal of 83300 is 338.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 70756 = 112^2 + 266^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 10.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 4892 + ... + 4908.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

2⁸³³⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321).

83300 is an abundant number, since it is smaller than the sum of its proper divisors (139342).

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

83300 is a wasteful number, since it uses less digits than its factorization.

83300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 83300 is about 288.6173937932. The cubic root of 83300 is about 43.6731985904.

Adding to 83300 its reverse (338), we get a palindrome (83638).

It can be divided in two parts, 83 and 300, that added together give a palindrome (383).

The spelling of 83300 in words is "eighty-three thousand, three hundred".