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2729 is a prime number

2729 has 2 divisors, whose sum is σ = 2730. Its totient is φ = 2728.

The previous prime is 2719. The next prime is 2731. The reversal of 2729 is 9272.

2729 is nontrivially palindromic in base 14.

2729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2729 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 25 = 52^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 2729 - 24 = 2713 is a prime.

Together with 2731, it forms a pair of twin primes.

It is a Chen prime.

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

2729 is an undulating number in base 14.

It is equal to p398 and since 2729 and 398 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2729.

It is not a weakly prime, because it can be changed into another prime (2719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364 + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

It is an amenable number.

2729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2729 is an equidigital number, since it uses as much as digits as its factorization.

2729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 20.

The square root of 2729 is about 52.2398315464. The cubic root of 2729 is about 13.9744431706.

The spelling of 2729 in words is "two thousand, seven hundred twenty-nine".