36300 has 54 divisors (see below), whose sum is σ = 115444. Its totient is φ = 8800.

The previous prime is 36299. The next prime is 36307. The reversal of 36300 is 363.

36300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (36307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3295 + ... + 3305.

2³⁶³⁰⁰ is an apocalyptic number.

36300 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 36300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57722).

36300 is an abundant number, since it is smaller than the sum of its proper divisors (79144).

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

36300 is a wasteful number, since it uses less digits than its factorization.

36300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 36300 is about 190.5255888326. The cubic root of 36300 is about 33.1107390850.

Multiplying 36300 by its sum of digits (12), we get a square (435600 = 660²).

36300 divided by its sum of digits (12) gives a square (3025 = 55²).

Adding to 36300 its reverse (363), we get a palindrome (36663).

Subtracting from 36300 its reverse (363), we obtain a cube (35937 = 33³).

Multiplying 36300 by its reverse (363), we get a square (13176900 = 3630²).

36300 divided by its reverse (363) gives a square (100 = 10²).

The spelling of 36300 in words is "thirty-six thousand, three hundred".