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2047 = 2389
BaseRepresentation
bin11111111111
32210211
4133333
531142
613251
75653
oct3777
92724
102047
1115a1
121227
13c16
14a63
15917
hex7ff

2047 has 4 divisors (see below), whose sum is σ = 2160. Its totient is φ = 1936.

The previous prime is 2039. The next prime is 2053. The reversal of 2047 is 7402.

2047 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 211-1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7402 = 23701.

It is a 4-Lehmer number, since φ(2047) divides (2047-1)4.

It is a cyclic number.

It is not a de Polignac number, because 2047 - 23 = 2039 is a prime.

It is a Duffinian number.

2047 is a nontrivial repdigit in base 2.

It is a plaindrome in base 2, base 4, base 8, base 12 and base 16.

It is a nialpdrome in base 2 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017) by changing a digit.

Being equal to 8×28-1, it is a Woodall number.

It is a nontrivial repunit in base 2.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 67.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

It is a Poulet number, since it divides 22046-1.

22047 is an apocalyptic number.

2047 is the 23-rd decagonal number.

2047 is a deficient number, since it is larger than the sum of its proper divisors (113).

2047 is an equidigital number, since it uses as much as digits as its factorization.

2047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2047 is about 45.2437841035. The cubic root of 2047 is about 12.6971411508.

The spelling of 2047 in words is "two thousand, forty-seven", and is thus an iban number.

Divisors: 1 23 89 2047