36304 has 10 divisors (see below), whose sum is σ = 70370. Its totient is φ = 18144.

The previous prime is 36299. The next prime is 36307. The reversal of 36304 is 40363.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 14400 = 148^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2269 = 36304 / (3 + 6 + 3 + 0 + 4).

It is a nialpdrome in base 14.

It is a congruent number.

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

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 as a sum of consecutive naturals, namely, 1119 + ... + 1150.

It is an arithmetic number, because the mean of its divisors is an integer number (7037).

2³⁶³⁰⁴ is an apocalyptic number.

It is an amenable number.

36304 is a deficient number, since it is larger than the sum of its proper divisors (34066).

36304 is a wasteful number, since it uses less digits than its factorization.

36304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 36304 is about 190.5360858210. The cubic root of 36304 is about 33.1119552291. Note that the first 3 decimals are identical.

Adding to 36304 its reverse (40363), we get a palindrome (76667).

The spelling of 36304 in words is "thirty-six thousand, three hundred four".