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2085 = 35139
BaseRepresentation
bin100000100101
32212020
4200211
531320
613353
76036
oct4045
92766
102085
111626
121259
13c45
14a8d
15940
hex825

2085 has 8 divisors (see below), whose sum is σ = 3360. Its totient is φ = 1104.

The previous prime is 2083. The next prime is 2087. The reversal of 2085 is 5802.

2085 = 112 + 122 + ... + 192.

It is an interprime number because it is at equal distance from previous prime (2083) and next prime (2087).

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

It is not a de Polignac number, because 2085 - 21 = 2083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 139 = 2085 / (2 + 0 + 8 + 5).

2085 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081) 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, 55 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

It is an amenable number.

2085 is a deficient number, since it is larger than the sum of its proper divisors (1275).

2085 is a wasteful number, since it uses less digits than its factorization.

2085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2085 is about 45.6618002273. The cubic root of 2085 is about 12.7752287851.

Adding to 2085 its reverse (5802), we get a palindrome (7887).

It can be divided in two parts, 20 and 85, that added together give a triangular number (105 = T14).

The spelling of 2085 in words is "two thousand, eighty-five".

Divisors: 1 3 5 15 139 417 695 2085