36441 has 6 divisors (see below), whose sum is σ = 52650. Its totient is φ = 24288.

The previous prime is 36433. The next prime is 36451. The reversal of 36441 is 14463.

36441 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 only one way, i.e., 27225 + 9216 = 165^2 + 96^2 .

It is not a de Polignac number, because 36441 - 2³ = 36433 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36441.

It is not an unprimeable number, because it can be changed into a prime (36451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2016 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2³⁶⁴⁴¹ is an apocalyptic number.

It is an amenable number.

36441 is a deficient number, since it is larger than the sum of its proper divisors (16209).

36441 is a wasteful number, since it uses less digits than its factorization.

36441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4052 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 36441 is about 190.8952592392. The cubic root of 36441 is about 33.1535543509.

It can be divided in two parts, 36 and 441, that multiplied together give a square (15876 = 126²).

The spelling of 36441 in words is "thirty-six thousand, four hundred forty-one".