97137 has 12 divisors (see below), whose sum is σ = 144144. Its totient is φ = 63000.

The previous prime is 97127. The next prime is 97151. The reversal of 97137 is 73179.

97137 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 97137 - 2⁶ = 97073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97137.

It is not an unprimeable number, because it can be changed into a prime (97117) 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 11 ways as a sum of consecutive naturals, for example, 262 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2⁹⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

97137 is a deficient number, since it is larger than the sum of its proper divisors (47007).

97137 is a wasteful number, since it uses less digits than its factorization.

97137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 97137 is about 311.6680926884. The cubic root of 97137 is about 45.9686301559.

The spelling of 97137 in words is "ninety-seven thousand, one hundred thirty-seven".