36505 has 12 divisors (see below), whose sum is σ = 51300. Its totient is φ = 24864.

The previous prime is 36497. The next prime is 36523. The reversal of 36505 is 50563.

36505 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 2 ways, for example, as 8281 + 28224 = 91^2 + 168^2 .

It is not a de Polignac number, because 36505 - 2³ = 36497 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2³⁶⁵⁰⁵ is an apocalyptic number.

36505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36505 is a deficient number, since it is larger than the sum of its proper divisors (14795).

36505 is a wasteful number, since it uses less digits than its factorization.

36505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 36505 is about 191.0628168954. The cubic root of 36505 is about 33.1729517927.

It can be divided in two parts, 3650 and 5, that added together give a triangular number (3655 = T₈₅).

The spelling of 36505 in words is "thirty-six thousand, five hundred five".