27522 has 24 divisors (see below), whose sum is σ = 65520. Its totient is φ = 8280.

The previous prime is 27509. The next prime is 27527. The reversal of 27522 is 22572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 27495 and 27504.

It is not an unprimeable number, because it can be changed into a prime (27527) by changing a digit.

27522 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 129 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2²⁷⁵²² is an apocalyptic number.

27522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

27522 is an abundant number, since it is smaller than the sum of its proper divisors (37998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27522 is a wasteful number, since it uses less digits than its factorization.

27522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 27522 is about 165.8975587524. The cubic root of 27522 is about 30.1921006195.

Subtracting from 27522 its reverse (22572), we obtain a triangular number (4950 = T₉₉).

The spelling of 27522 in words is "twenty-seven thousand, five hundred twenty-two".