27521 has 8 divisors (see below), whose sum is σ = 31080. Its totient is φ = 24192.

The previous prime is 27509. The next prime is 27527. The reversal of 27521 is 12572.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 25921 = 40^2 + 161^2 .

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 27521 - 2⁶ = 27457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27521.

It is not an unprimeable number, because it can be changed into a prime (27527) 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, 341 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (3885).

2²⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

27521 is a deficient number, since it is larger than the sum of its proper divisors (3559).

27521 is a wasteful number, since it uses less digits than its factorization.

27521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its digits is 140, while the sum is 17.

The square root of 27521 is about 165.8945448169. The cubic root of 27521 is about 30.1917349428.

It can be divided in two parts, 275 and 21, that multiplied together give a palindrome (5775).

The spelling of 27521 in words is "twenty-seven thousand, five hundred twenty-one".