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2731 is a prime number
BaseRepresentation
bin101010101011
310202011
4222223
541411
620351
710651
oct5253
93664
102731
112063
1216b7
131321
14dd1
15c21
hexaab

2731 has 2 divisors, whose sum is σ = 2732. Its totient is φ = 2730.

The previous prime is 2729. The next prime is 2741. The reversal of 2731 is 1372.

Adding to 2731 its sum of digits (13), we get a cube (2744 = 143).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2731 - 21 = 2729 is a prime.

It is a super-2 number, since 2×27312 = 14916722, which contains 22 as substring.

Together with 2729, it forms a pair of twin primes.

It is a Chen prime.

It is the 13-th Jacobsthal number.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 14 and base 15.

It is not a weakly prime, because it can be changed into another prime (2711) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365 + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (1366).

2731 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731 is an equidigital number, since it uses as much as digits as its factorization.

2731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 13.

The square root of 2731 is about 52.2589705218. The cubic root of 2731 is about 13.9778561499.

The spelling of 2731 in words is "two thousand, seven hundred thirty-one".