36305 has 8 divisors (see below), whose sum is σ = 44712. Its totient is φ = 28288.

The previous prime is 36299. The next prime is 36307. The reversal of 36305 is 50363.

36305 = T₁₁₈ + T₁₁₉ + ... + T₁₂₂.

It is a happy number.

36305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 28561 = 88^2 + 169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36305 - 2⁶ = 36241 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 14.

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 7 ways as a sum of consecutive naturals, for example, 197 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (5589).

2³⁶³⁰⁵ is an apocalyptic number.

It is an amenable number.

36305 is a deficient number, since it is larger than the sum of its proper divisors (8407).

36305 is a wasteful number, since it uses less digits than its factorization.

36305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195.

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 36305 is about 190.5387099778. The cubic root of 36305 is about 33.1122592511.

Adding to 36305 its reverse (50363), we get a palindrome (86668).

It can be divided in two parts, 3 and 6305, that multiplied together give a triangular number (18915 = T₁₉₄).

The spelling of 36305 in words is "thirty-six thousand, three hundred five".