36450 has 42 divisors (see below), whose sum is σ = 101649. Its totient is φ = 9720.

The previous prime is 36433. The next prime is 36451. The reversal of 36450 is 5463.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 729 = 189^2 + 27^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=135.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7288 + ... + 7292.

2³⁶⁴⁵⁰ is an apocalyptic number.

36450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36450

36450 is an abundant number, since it is smaller than the sum of its proper divisors (65199).

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

36450 is an equidigital number, since it uses as much as digits as its factorization.

36450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 10 counting only the distinct ones).

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

The square root of 36450 is about 190.9188309204. The cubic root of 36450 is about 33.1562834878.

Multiplying 36450 by its sum of digits (18), we get a square (656100 = 810²).

36450 divided by its sum of digits (18) gives a square (2025 = 45²).

It can be divided in two parts, 364 and 50, that added together give a palindrome (414).

The spelling of 36450 in words is "thirty-six thousand, four hundred fifty".