15015 has 32 divisors (see below), whose sum is σ = 32256. Its totient is φ = 5760.

The previous prime is 15013. The next prime is 15017. The reversal of 15015 is 51051.

Added to its reverse (51051) it gives a triangular number (66066 = T₃₆₃).

15015 = T₁₀ + T₁₁ + ... + T₄₄.

15015 = 26² + 27² + ... + 39².

15015 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15013) and next prime (15017).

It is not a de Polignac number, because 15015 - 2¹ = 15013 is a prime.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁵⁰¹⁵ is an apocalyptic number.

15015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15015 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 (16128).

15015 is a wasteful number, since it uses less digits than its factorization.

15015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 15015 is about 122.5357090811. The cubic root of 15015 is about 24.6703387115.

Adding to 15015 its reverse (51051), we get a palindrome (66066).

The spelling of 15015 in words is "fifteen thousand, fifteen".