97109 has 6 divisors (see below), whose sum is σ = 102870. Its totient is φ = 91656.

The previous prime is 97103. The next prime is 97117. The reversal of 97109 is 90179.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 36100 = 247^2 + 190^2 .

It is not a de Polignac number, because 97109 - 2¹⁶ = 31573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97103) 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 5 ways as a sum of consecutive naturals, for example, 227 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2⁹⁷¹⁰⁹ is an apocalyptic number.

It is an amenable number.

97109 is a deficient number, since it is larger than the sum of its proper divisors (5761).

97109 is a wasteful number, since it uses less digits than its factorization.

97109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 97109 is about 311.6231698703. The cubic root of 97109 is about 45.9642128712.

The spelling of 97109 in words is "ninety-seven thousand, one hundred nine".