27013 has 8 divisors (see below), whose sum is σ = 32832. Its totient is φ = 21696.

The previous prime is 27011. The next prime is 27017. The reversal of 27013 is 31072.

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

It is a cyclic number.

It is not a de Polignac number, because 27013 - 2¹ = 27011 is a prime.

It is a Duffinian number.

27013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 26984 and 27002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2²⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

27013 is a deficient number, since it is larger than the sum of its proper divisors (5819).

27013 is a wasteful number, since it uses less digits than its factorization.

27013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 27013 is about 164.3563202314. The cubic root of 27013 is about 30.0048140423.

Subtracting from 27013 its sum of digits (13), we obtain a cube (27000 = 30³).

Adding to 27013 its reverse (31072), we get a palindrome (58085).

It can be divided in two parts, 2701 and 3, that added together give a square (2704 = 52²).

The spelling of 27013 in words is "twenty-seven thousand, thirteen".