97201 has 4 divisors (see below), whose sum is σ = 104692. Its totient is φ = 89712.

The previous prime is 97187. The next prime is 97213. The reversal of 97201 is 10279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10279 = 19 ⋅541.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 39601 = 240^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 97201 - 2⁵ = 97169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97231) 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 in 3 ways as a sum of consecutive naturals, for example, 3726 + ... + 3751.

It is an arithmetic number, because the mean of its divisors is an integer number (26173).

2⁹⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

97201 is a deficient number, since it is larger than the sum of its proper divisors (7491).

97201 is a wasteful number, since it uses less digits than its factorization.

97201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 97201 is about 311.7707491090. The cubic root of 97201 is about 45.9787236199.

The spelling of 97201 in words is "ninety-seven thousand, two hundred one".