36330 has 32 divisors (see below), whose sum is σ = 100224. Its totient is φ = 8256.

The previous prime is 36319. The next prime is 36341. The reversal of 36330 is 3363.

36330 = T₅₀ + T₅₁ + ... + T₆₉.

It is an interprime number because it is at equal distance from previous prime (36319) and next prime (36341).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3132).

2³⁶³³⁰ is an apocalyptic number.

36330 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 36330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50112).

36330 is an abundant number, since it is smaller than the sum of its proper divisors (63894).

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

36330 is a wasteful number, since it uses less digits than its factorization.

36330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 36330 is about 190.6043021550. The cubic root of 36330 is about 33.1198579891.

Subtracting from 36330 its sum of digits (15), we obtain a triangular number (36315 = T₂₆₉).

Adding to 36330 its reverse (3363), we get a palindrome (39693).

It can be divided in two parts, 363 and 30, that added together give a palindrome (393).

The spelling of 36330 in words is "thirty-six thousand, three hundred thirty".