10797 has 8 divisors (see below), whose sum is σ = 14880. Its totient is φ = 6960.

The previous prime is 10789. The next prime is 10799. The reversal of 10797 is 79701.

10797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10797 - 2³ = 10789 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

10797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799) 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 in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2¹⁰⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

10797 is a deficient number, since it is larger than the sum of its proper divisors (4083).

10797 is an equidigital number, since it uses as much as digits as its factorization.

10797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

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

The square root of 10797 is about 103.9086136949. The cubic root of 10797 is about 22.1021421181.

The spelling of 10797 in words is "ten thousand, seven hundred ninety-seven".