15930 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 4176.

The previous prime is 15923. The next prime is 15937. The reversal of 15930 is 3951.

Added to its reverse (3951) it gives a square (19881 = 141²).

It is an interprime number because it is at equal distance from previous prime (15923) and next prime (15937).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15930.

It is not an unprimeable number, because it can be changed into a prime (15937) 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, 241 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁵⁹³⁰ is an apocalyptic number.

15930 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 15930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

15930 is an abundant number, since it is smaller than the sum of its proper divisors (27270).

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

15930 is a wasteful number, since it uses less digits than its factorization.

15930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 15930 is about 126.2141038078. The cubic root of 15930 is about 25.1616195796.

Adding to 15930 its reverse (3951), we get a square (19881 = 141²).

The spelling of 15930 in words is "fifteen thousand, nine hundred thirty".