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1083 = 3192
BaseRepresentation
bin10000111011
31111010
4100323
513313
65003
73105
oct2073
91433
101083
118a5
12763
13654
14575
154c3
hex43b

1083 has 6 divisors (see below), whose sum is σ = 1524. Its totient is φ = 684.

The previous prime is 1069. The next prime is 1087. The reversal of 1083 is 3801.

Multipling 1083 by its sum of digits (12), we get a square (12996 = 1142).

Adding to 1083 its reverse (3801), we get a palindrome (4884).

It can be divided in two parts, 108 and 3, that multiplied together give a square (324 = 182).

1083 is nontrivially palindromic in base 14.

1083 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 1083 - 25 = 1051 is a prime.

1083 is an undulating number in base 14.

It is a nialpdrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48 + ... + 66.

It is an arithmetic number, because the mean of its divisors is an integer number (254).

1083 is a deficient number, since it is larger than the sum of its proper divisors (441).

1083 is an equidigital number, since it uses as much as digits as its factorization.

1083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1083 is about 32.9089653438. The cubic root of 1083 is about 10.2693467638.

The spelling of 1083 in words is "one thousand, eighty-three".

Divisors: 1 3 19 57 361 1083