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1093 is a prime number
BaseRepresentation
bin10001000101
31111111
4101011
513333
65021
73121
oct2105
91444
101093
11904
12771
13661
14581
154cd
hex445

1093 has 2 divisors, whose sum is σ = 1094. Its totient is φ = 1092.

The previous prime is 1091. The next prime is 1097. The reversal of 1093 is 3901.

It is a happy number.

1093 is nontrivially palindromic in base 3.

It is the 14-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 4 = 33^2 + 2^2 .

It is a Wieferich prime.

Together with 2 it forms a Wieferich pair.

It is a cyclic number.

It is not a de Polignac number, because 1093 - 21 = 1091 is a prime.

Together with 1091, it forms a pair of twin primes.

1093 is a lucky number.

1093 is a nontrivial repdigit in base 3.

It is a plaindrome in base 3, base 5, base 9, base 15 and base 16.

It is a nialpdrome in base 3, base 12 and base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is a panconsummate number.

It is not a weakly prime, because it can be changed into another prime (1091) by changing a digit.

It is a nontrivial repunit in base 3.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 546 + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (547).

It is an amenable number.

1093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1093 is an equidigital number, since it uses as much as digits as its factorization.

1093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1093 is about 33.0605505096. The cubic root of 1093 is about 10.3008576909.

The spelling of 1093 in words is "one thousand, ninety-three".