36306 has 12 divisors (see below), whose sum is σ = 78702. Its totient is φ = 12096.

The previous prime is 36299. The next prime is 36307. The reversal of 36306 is 60363.

36306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 11025 = 159^2 + 105^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2017 = 36306 / (3 + 6 + 3 + 0 + 6).

It is a Curzon number.

It is a plaindrome in base 13.

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

36306 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 5 ways as a sum of consecutive naturals, for example, 991 + ... + 1026.

2³⁶³⁰⁶ is an apocalyptic number.

36306 is an abundant number, since it is smaller than the sum of its proper divisors (42396).

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

36306 is a wasteful number, since it uses less digits than its factorization.

36306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36306 is about 190.5413340984. The cubic root of 36306 is about 33.1125632676.

Adding to 36306 its reverse (60363), we get a palindrome (96669).

The spelling of 36306 in words is "thirty-six thousand, three hundred six".