36244 has 24 divisors (see below), whose sum is σ = 74088. Its totient is φ = 15360.

The previous prime is 36241. The next prime is 36251. The reversal of 36244 is 44263.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 36100 = 12^2 + 190^2 .

It is a super-3 number, since 3×36244³ = 142833349244352, which contains 333 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36241) 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 7 ways as a sum of consecutive naturals, for example, 864 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2³⁶²⁴⁴ is an apocalyptic number.

36244 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36244 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044).

36244 is a wasteful number, since it uses less digits than its factorization.

36244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 36244 is about 190.3785702226. The cubic root of 36244 is about 33.0937036791.

Adding to 36244 its sum of digits (19), we get a palindrome (36263).

It can be divided in two parts, 362 and 44, that added together give a triangular number (406 = T₂₈).

The spelling of 36244 in words is "thirty-six thousand, two hundred forty-four".