36324 has 18 divisors (see below), whose sum is σ = 91910. Its totient is φ = 12096.

The previous prime is 36319. The next prime is 36341. The reversal of 36324 is 42363.

36324 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 only one way, i.e., 28224 + 8100 = 168^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁵ + 6 + 3⁹ + 2³ + 4⁷ .

36324 is a modest number, since divided by 324 gives 36 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 36297 and 36306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36324.

It is an unprimeable number.

36324 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469 + ... + 540.

2³⁶³²⁴ is an apocalyptic number.

It is an amenable number.

36324 is an abundant number, since it is smaller than the sum of its proper divisors (55586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36324 is a wasteful number, since it uses less digits than its factorization.

36324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 36324 is about 190.5885620912. The cubic root of 36324 is about 33.1180346100.

Adding to 36324 its reverse (42363), we get a palindrome (78687).

It can be divided in two parts, 36 and 324, that multiplied together give a square (11664 = 108²).

The spelling of 36324 in words is "thirty-six thousand, three hundred twenty-four".