15001 has 4 divisors (see below), whose sum is σ = 17152. Its totient is φ = 12852.

The previous prime is 14983. The next prime is 15013. The reversal of 15001 is 10051.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 15001 - 2⁵ = 14969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 2143 = 15001 / (1 + 5 + 0 + 0 + 1).

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (15031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1065 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (4288).

2¹⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

15001 is a deficient number, since it is larger than the sum of its proper divisors (2151).

15001 is an equidigital number, since it uses as much as digits as its factorization.

15001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 15001 is about 122.4785695540. The cubic root of 15001 is about 24.6626687783.

Adding to 15001 its reverse (10051), we get a palindrome (25052).

Subtracting from 15001 its reverse (10051), we obtain a triangular number (4950 = T₉₉).

The spelling of 15001 in words is "fifteen thousand, one".