30300 has 36 divisors (see below), whose sum is σ = 88536. Its totient is φ = 8000.

The previous prime is 30293. The next prime is 30307. The reversal of 30300 is 303.

30300 = 58² + 59² + ... + 65².

30300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30293) and next prime (30307).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

30300 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30307) by changing a digit.

30300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 350.

2³⁰³⁰⁰ is an apocalyptic number.

30300 is a gapful number since it is divisible by the number (30) 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 30300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44268).

30300 is an abundant number, since it is smaller than the sum of its proper divisors (58236).

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

30300 is a wasteful number, since it uses less digits than its factorization.

30300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 30300 is about 174.0689518553. The cubic root of 30300 is about 31.1755561337.

Adding to 30300 its reverse (303), we get a palindrome (30603).

Multiplying 30300 by its reverse (303), we get a square (9180900 = 3030²).

30300 divided by its reverse (303) gives a square (100 = 10²).

The spelling of 30300 in words is "thirty thousand, three hundred".