27613 has 4 divisors (see below), whose sum is σ = 28188. Its totient is φ = 27040.

The previous prime is 27611. The next prime is 27617. The reversal of 27613 is 31672.

27613 = 117² + 118².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 13689 = 118^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 27613 - 2¹ = 27611 is a prime.

It is a deceptive number, since it divides R₂₇₆₁₂.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (7047).

2²⁷⁶¹³ is an apocalyptic number.

27613 is the 118-th centered square number.

It is an amenable number.

27613 is a deficient number, since it is larger than the sum of its proper divisors (575).

27613 is an equidigital number, since it uses as much as digits as its factorization.

27613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its digits is 252, while the sum is 19.

The square root of 27613 is about 166.1715980545. The cubic root of 27613 is about 30.2253401924.

It can be divided in two parts, 276 and 13, that added together give a square (289 = 17²).

The spelling of 27613 in words is "twenty-seven thousand, six hundred thirteen".