27342 has 36 divisors (see below), whose sum is σ = 71136. Its totient is φ = 7560.
The previous prime is 27337. The next prime is 27361. The reversal of 27342 is 24372.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a plaindrome in base 16.
It is a congruent number.
It is an unprimeable number.
27342 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 867 + ... + 897.
It is an arithmetic number, because the mean of its divisors is an integer number (1976).
227342 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35568).
27342 is an abundant number, since it is smaller than the sum of its proper divisors (43794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27342 is a wasteful number, since it uses less digits than its factorization.
27342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 43 counting only the distinct ones).
The product of its digits is 336, while the sum is 18.
The square root of 27342 is about 165.3541653542. The cubic root of 27342 is about 30.1261355839.
The spelling of 27342 in words is "twenty-seven thousand, three hundred forty-two", and thus it is an iban number.
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