1797 has 4 divisors (see below), whose sum is σ = 2400. Its totient is φ = 1196.

The previous prime is 1789. The next prime is 1801. The reversal of 1797 is 7971.

1797 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7971 = 3 ⋅2657.

It is a cyclic number.

It is not a de Polignac number, because 1797 - 2³ = 1789 is a prime.

It is a D-number.

1797 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

2¹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

1797 is a deficient number, since it is larger than the sum of its proper divisors (603).

1797 is an equidigital number, since it uses as much as digits as its factorization.

1797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its digits is 441, while the sum is 24.

The square root of 1797 is about 42.3910367885. The cubic root of 1797 is about 12.1576422310.

The spelling of 1797 in words is "one thousand, seven hundred ninety-seven".