2647 has 2 divisors, whose sum is σ = 2648. Its totient is φ = 2646.

The previous prime is 2633. The next prime is 2657. The reversal of 2647 is 7462.

Subtracting from 2647 its sum of digits (19), we obtain a triangular number (2628 = T_{72}).

2647 is nontrivially palindromic in base 7.

It is a strong prime.

2647 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2647 - 2^{11} = 599 is a prime.

It is a Chen prime.

2647 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1323 + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (1324).

2647 is the 28-th centered heptagonal number.

2647 is a deficient number, since it is larger than the sum of its proper divisors (1).

2647 is an equidigital number, since it uses as much as digits as its factorization.

2647 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 19.

The square root of 2647 is about 51.4490038776. The cubic root of 2647 is about 13.8330510741.

The spelling of 2647 in words is "two thousand, six hundred forty-seven".

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