15330 has 32 divisors (see below), whose sum is σ = 42624. Its totient is φ = 3456.

The previous prime is 15329. The next prime is 15331. The reversal of 15330 is 3351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15329) and next prime (15331).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15330.

It is not an unprimeable number, because it can be changed into a prime (15331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

2¹⁵³³⁰ is an apocalyptic number.

15330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312).

15330 is an abundant number, since it is smaller than the sum of its proper divisors (27294).

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

15330 is a wasteful number, since it uses less digits than its factorization.

15330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 15330 is about 123.8143771942. The cubic root of 15330 is about 24.8416659974.

Adding to 15330 its reverse (3351), we get a palindrome (18681).

It can be divided in two parts, 15 and 330, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 15330 in words is "fifteen thousand, three hundred thirty".