16797 has 8 divisors (see below), whose sum is σ = 24480. Its totient is φ = 10160.

The previous prime is 16787. The next prime is 16811. The reversal of 16797 is 79761.

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

It is a cyclic number.

It is not a de Polignac number, because 16797 - 2¹⁰ = 15773 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16747) 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, 222 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

16797 is a Friedman number, since it can be written as 7^6/7-9-1, using all its digits and the basic arithmetic operations.

2¹⁶⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

16797 is a deficient number, since it is larger than the sum of its proper divisors (7683).

16797 is a wasteful number, since it uses less digits than its factorization.

16797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its digits is 2646, while the sum is 30.

The square root of 16797 is about 129.6032407002. The cubic root of 16797 is about 25.6100587100.

The spelling of 16797 in words is "sixteen thousand, seven hundred ninety-seven".