97507 has 4 divisors (see below), whose sum is σ = 98136. Its totient is φ = 96880.

The previous prime is 97501. The next prime is 97511. The reversal of 97507 is 70579.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 70579 = 163 ⋅433.

It is a cyclic number.

It is not a de Polignac number, because 97507 - 2³ = 97499 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97501) 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, 108 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (24534).

2⁹⁷⁵⁰⁷ is an apocalyptic number.

97507 is a deficient number, since it is larger than the sum of its proper divisors (629).

97507 is a wasteful number, since it uses less digits than its factorization.

97507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 97507 is about 312.2611086895. The cubic root of 97507 is about 46.0269218588.

Subtracting from 97507 its sum of digits (28), we obtain a palindrome (97479).

The spelling of 97507 in words is "ninety-seven thousand, five hundred seven".