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BaseRepresentation
bin10000111101
31111012
4100331
513320
65005
73110
oct2075
91435
101085
118a7
12765
13656
14577
154c5
hex43d

1085 has 8 divisors (see below), whose sum is σ = 1536. Its totient is φ = 720.

The previous prime is 1069. The next prime is 1087. The reversal of 1085 is 5801.

Adding to 1085 its reverse (5801), we get a palindrome (6886).

1085 = T14 + T15 + ... + T20.

1085 = 182 + 192 + 202.

1085 is nontrivially palindromic in base 6 and base 13.

1085 is an esthetic number in base 12 and base 13, because in such bases its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1085 - 24 = 1069 is a prime.

It is a Duffinian number.

1085 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20 + ... + 50.

It is an arithmetic number, because the mean of its divisors is an integer number (192).

It is an amenable number.

1085 is a deficient number, since it is larger than the sum of its proper divisors (451).

1085 is an equidigital number, since it uses as much as digits as its factorization.

1085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1085 is about 32.9393381840. The cubic root of 1085 is about 10.2756644195.

The spelling of 1085 in words is "one thousand, eighty-five".

Divisors: 1 5 7 31 35 155 217 1085