97001 has 2 divisors, whose sum is σ = 97002. Its totient is φ = 97000.

The previous prime is 96997. The next prime is 97003. The reversal of 97001 is 10079.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90601 + 6400 = 301^2 + 80^2 .

It is an emirp because it is prime and its reverse (10079) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97001 - 2² = 96997 is a prime.

It is a Sophie Germain prime.

Together with 97003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (97003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48500 + 48501.

It is an arithmetic number, because the mean of its divisors is an integer number (48501).

2⁹⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

97001 is a deficient number, since it is larger than the sum of its proper divisors (1).

97001 is an equidigital number, since it uses as much as digits as its factorization.

97001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 97001 is about 311.4498354471. The cubic root of 97001 is about 45.9471668150.

The spelling of 97001 in words is "ninety-seven thousand, one".