27412 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 10560.

The previous prime is 27409. The next prime is 27427. The reversal of 27412 is 21472.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 264 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁷⁴¹² is an apocalyptic number.

27412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

27412 is an abundant number, since it is smaller than the sum of its proper divisors (33068).

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

27412 is a wasteful number, since it uses less digits than its factorization.

27412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 27412 is about 165.5656969303. The cubic root of 27412 is about 30.1518229561.

Adding to 27412 its reverse (21472), we get a palindrome (48884).

The spelling of 27412 in words is "twenty-seven thousand, four hundred twelve", and thus it is an iban number.