97125 has 32 divisors (see below), whose sum is σ = 189696. Its totient is φ = 43200.

The previous prime is 97117. The next prime is 97127. The reversal of 97125 is 52179.

It is not a de Polignac number, because 97125 - 2³ = 97117 is a prime.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97095 and 97104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97127) 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 31 ways as a sum of consecutive naturals, for example, 2607 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2⁹⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

97125 is a deficient number, since it is larger than the sum of its proper divisors (92571).

97125 is a wasteful number, since it uses less digits than its factorization.

97125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 97125 is about 311.6488408449. The cubic root of 97125 is about 45.9667371379.

It can be divided in two parts, 97 and 125, that added together give a palindrome (222).

The spelling of 97125 in words is "ninety-seven thousand, one hundred twenty-five".