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BaseRepresentation
bin101010010001
310201012
4222101
541310
620305
710613
oct5221
93635
102705
11203a
121695
131301
14db3
15c05
hexa91

2705 has 4 divisors (see below), whose sum is σ = 3252. Its totient is φ = 2160.

The previous prime is 2699. The next prime is 2707. The reversal of 2705 is 5072.

2705 = T11 + T12 + ... + T25.

It is a Cunningham number, because it is equal to 522+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 1681 = 32^2 + 41^2 .

It is not a de Polignac number, because 2705 - 24 = 2689 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a nialpdrome in base 8, base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2705.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (813).

22705 is an apocalyptic number.

It is an amenable number.

2705 is a deficient number, since it is larger than the sum of its proper divisors (547).

2705 is an equidigital number, since it uses as much as digits as its factorization.

2705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 2705 is about 52.0096144958. The cubic root of 2705 is about 13.9333567353.

Adding to 2705 its product of nonzero digits (70), we get a triangular number (2775 = T74).

Adding to 2705 its reverse (5072), we get a palindrome (7777).

It can be divided in two parts, 2 and 705, that added together give a palindrome (707).

The spelling of 2705 in words is "two thousand, seven hundred five".

Divisors: 1 5 541 2705