27315 has 12 divisors (see below), whose sum is σ = 47424. Its totient is φ = 14544.

The previous prime is 27299. The next prime is 27329. The reversal of 27315 is 51372.

It is not a de Polignac number, because 27315 - 2⁴ = 27299 is a prime.

It is a super-2 number, since 2×27315² = 1492218450, which contains 22 as substring.

27315 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (3952).

2²⁷³¹⁵ is an apocalyptic number.

27315 is a deficient number, since it is larger than the sum of its proper divisors (20109).

27315 is a wasteful number, since it uses less digits than its factorization.

27315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 615 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 27315 is about 165.2725022501. The cubic root of 27315 is about 30.1162158810.

Adding to 27315 its reverse (51372), we get a palindrome (78687).

It can be divided in two parts, 273 and 15, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 27315 in words is "twenty-seven thousand, three hundred fifteen".