97301 has 2 divisors, whose sum is σ = 97302. Its totient is φ = 97300.

The previous prime is 97283. The next prime is 97303. The reversal of 97301 is 10379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 46225 = 226^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 97301 - 2¹⁴ = 80917 is a prime.

Together with 97303, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48650 + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (48651).

2⁹⁷³⁰¹ is an apocalyptic number.

97301 is the 140-th centered decagonal number.

It is an amenable number.

97301 is a deficient number, since it is larger than the sum of its proper divisors (1).

97301 is an equidigital number, since it uses as much as digits as its factorization.

97301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 97301 is about 311.9310821319. The cubic root of 97301 is about 45.9944857914.

The spelling of 97301 in words is "ninety-seven thousand, three hundred one".