2719 has 2 divisors, whose sum is σ = 2720. Its totient is φ = 2718.

The previous prime is 2713. The next prime is 2729. The reversal of 2719 is 9172.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2719 - 2³ = 2711 is a prime.

It is a super-2 number, since 2×2719² = 14785922, which contains 22 as substring.

It is a Chen prime.

It is equal to p₃₉₇ and since 2719 and 397 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2696 and 2705.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1359 + 1360.

It is an arithmetic number, because the mean of its divisors is an integer number (1360).

2719 is a deficient number, since it is larger than the sum of its proper divisors (1).

2719 is an equidigital number, since it uses as much as digits as its factorization.

2719 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 19.

The square root of 2719 is about 52.1440312979. The cubic root of 2719 is about 13.9573532145.

The spelling of 2719 in words is "two thousand, seven hundred nineteen".