180797 has 2 divisors, whose sum is σ = 180798. Its totient is φ = 180796.

The previous prime is 180793. The next prime is 180799. The reversal of 180797 is 797081.

180797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116281 + 64516 = 341^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 180797 - 2² = 180793 is a prime.

Together with 180799, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90398 + 90399.

It is an arithmetic number, because the mean of its divisors is an integer number (90399).

2¹⁸⁰⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

180797 is a deficient number, since it is larger than the sum of its proper divisors (1).

180797 is an equidigital number, since it uses as much as digits as its factorization.

180797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 180797 is about 425.2023047915. The cubic root of 180797 is about 56.5453730081.

The spelling of 180797 in words is "one hundred eighty thousand, seven hundred ninety-seven".