97575 has 12 divisors (see below), whose sum is σ = 161448. Its totient is φ = 52000.

The previous prime is 97571. The next prime is 97577. The reversal of 97575 is 57579.

It is not a de Polignac number, because 97575 - 2² = 97571 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 975 and 75 contains 97575 itself.

97575 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97571) 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, 576 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (13454).

2⁹⁷⁵⁷⁵ is an apocalyptic number.

97575 is a deficient number, since it is larger than the sum of its proper divisors (63873).

97575 is a wasteful number, since it uses less digits than its factorization.

97575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1309 counting only the distinct ones).

The product of its digits is 11025, while the sum is 33.

The square root of 97575 is about 312.3699729487. The cubic root of 97575 is about 46.0376188803.

The spelling of 97575 in words is "ninety-seven thousand, five hundred seventy-five".