2797 has 2 divisors, whose sum is σ = 2798. Its totient is φ = 2796.

The previous prime is 2791. The next prime is 2801. The reversal of 2797 is 7972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 196 = 51^2 + 14^2 .

2797 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2797 - 2³ = 2789 is a prime.

2797 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1398 + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (1399).

It is an amenable number.

2797 is a deficient number, since it is larger than the sum of its proper divisors (1).

2797 is an equidigital number, since it uses as much as digits as its factorization.

2797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 882, while the sum is 25.

The square root of 2797 is about 52.8866712887. The cubic root of 2797 is about 14.0895618805.

Subtracting from 2797 its sum of digits (25), we obtain a palindrome (2772).

It can be divided in two parts, 279 and 7, that multiplied together give a triangular number (1953 = T₆₂).

The spelling of 2797 in words is "two thousand, seven hundred ninety-seven".