36045 has 20 divisors (see below), whose sum is σ = 65340. Its totient is φ = 19008.

The previous prime is 36037. The next prime is 36061. The reversal of 36045 is 54063.

It is a happy number.

36045 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 9801 + 26244 = 99^2 + 162^2 .

It is not a de Polignac number, because 36045 - 2³ = 36037 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 361 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (3267).

2³⁶⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

36045 is a deficient number, since it is larger than the sum of its proper divisors (29295).

36045 is an equidigital number, since it uses as much as digits as its factorization.

36045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36045 is about 189.8552079876. The cubic root of 36045 is about 33.0330247906.

Adding to 36045 its sum of digits (18), we get a palindrome (36063).

The spelling of 36045 in words is "thirty-six thousand, forty-five".