36405 has 12 divisors (see below), whose sum is σ = 63180. Its totient is φ = 19392.

The previous prime is 36389. The next prime is 36433. The reversal of 36405 is 50463.

It is a happy number.

36405 is digitally balanced in base 2 and base 4, because in such bases 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 23409 + 12996 = 153^2 + 114^2 .

It is not a de Polignac number, because 36405 - 2⁴ = 36389 is a prime.

36405 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36405.

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, 360 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2³⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

36405 is a deficient number, since it is larger than the sum of its proper divisors (26775).

36405 is a wasteful number, since it uses less digits than its factorization.

36405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 817 counting only the distinct ones).

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

The square root of 36405 is about 190.8009433939. The cubic root of 36405 is about 33.1426333078.

Adding to 36405 its reverse (50463), we get a palindrome (86868).

It can be divided in two parts, 36 and 405, that added together give a square (441 = 21²).

The spelling of 36405 in words is "thirty-six thousand, four hundred five".