27783 has 20 divisors (see below), whose sum is σ = 48400. Its totient is φ = 15876.

The previous prime is 27779. The next prime is 27791. The reversal of 27783 is 38772.

Adding to 27783 its product of digits (2352), we get a triangular number (30135 = T_{245}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27783 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=21.

It is not a de Polignac number, because 27783 - 2^{2} = 27779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

27783 is a lucky number.

It is a nialpdrome in base 9 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27733) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3966 + ... + 3972.

It is an arithmetic number, because the mean of its divisors is an integer number (2420).

27783 is a Friedman number, since it can be written as (7*3)^(8/2)/7, using all its digits and the basic arithmetic operations.

2^{27783} is an apocalyptic number.

27783 is a deficient number, since it is larger than the sum of its proper divisors (20617).

27783 is an frugal number, since it uses more digits than its factorization.

27783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27783 is about 166.6823325971. The cubic root of 27783 is about 30.2872409765.

The spelling of 27783 in words is "twenty-seven thousand, seven hundred eighty-three".

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