180097 has 2 divisors, whose sum is σ = 180098. Its totient is φ = 180096.

The previous prime is 180077. The next prime is 180137. The reversal of 180097 is 790081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 53361 = 356^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 180097 - 2⁷ = 179969 is a prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (180007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90048 + 90049.

It is an arithmetic number, because the mean of its divisors is an integer number (90049).

2¹⁸⁰⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

180097 is a deficient number, since it is larger than the sum of its proper divisors (1).

180097 is an equidigital number, since it uses as much as digits as its factorization.

180097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 180097 is about 424.3783689115. The cubic root of 180097 is about 56.4723021888.

The spelling of 180097 in words is "one hundred eighty thousand, ninety-seven".