15006 has 16 divisors (see below), whose sum is σ = 31248. Its totient is φ = 4800.

The previous prime is 14983. The next prime is 15013. The reversal of 15006 is 60051.

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 14982 and 15000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2¹⁵⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 122×123.

15006 is an abundant number, since it is smaller than the sum of its proper divisors (16242).

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 (15624).

15006 is a wasteful number, since it uses less digits than its factorization.

15006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 15006 is about 122.4989795876. The cubic root of 15006 is about 24.6654085877.

Adding to 15006 its reverse (60051), we get a palindrome (75057).

The spelling of 15006 in words is "fifteen thousand, six".