15315 has 8 divisors (see below), whose sum is σ = 24528. Its totient is φ = 8160.

The previous prime is 15313. The next prime is 15319. The reversal of 15315 is 51351.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 15315 - 2¹ = 15313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 1021 = 15315 / (1 + 5 + 3 + 1 + 5).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 15294 and 15303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15315.

It is not an unprimeable number, because it can be changed into a prime (15313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (3066).

2¹⁵³¹⁵ is an apocalyptic number.

15315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15315 is a deficient number, since it is larger than the sum of its proper divisors (9213).

15315 is a wasteful number, since it uses less digits than its factorization.

15315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029.

The product of its digits is 75, while the sum is 15.

The square root of 15315 is about 123.7537878208. The cubic root of 15315 is about 24.8335610487.

Adding to 15315 its reverse (51351), we get a palindrome (66666).

The spelling of 15315 in words is "fifteen thousand, three hundred fifteen".