27612 has 36 divisors (see below), whose sum is σ = 76440. Its totient is φ = 8352.

The previous prime is 27611. The next prime is 27617. The reversal of 27612 is 21672.

Added to its reverse (21672) it gives a square (49284 = 222²).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an alternating number because its digits alternate between even and odd.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 497.

2²⁷⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220).

27612 is an abundant number, since it is smaller than the sum of its proper divisors (48828).

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

27612 is a wasteful number, since it uses less digits than its factorization.

27612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 27612 is about 166.1685890895. The cubic root of 27612 is about 30.2249753195.

Adding to 27612 its reverse (21672), we get a square (49284 = 222²).

The spelling of 27612 in words is "twenty-seven thousand, six hundred twelve".