97509 has 4 divisors (see below), whose sum is σ = 130016. Its totient is φ = 65004.

The previous prime is 97501. The next prime is 97511. The reversal of 97509 is 90579.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 97509 - 2³ = 97501 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a congruent 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, 16249 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (32504).

2⁹⁷⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

97509 is a deficient number, since it is larger than the sum of its proper divisors (32507).

97509 is a wasteful number, since it uses less digits than its factorization.

97509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32506.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 97509 is about 312.2643111212. The cubic root of 97509 is about 46.0272365481.

Subtracting from 97509 its sum of digits (30), we obtain a palindrome (97479).

It can be divided in two parts, 97 and 509, that added together give a palindrome (606).

The spelling of 97509 in words is "ninety-seven thousand, five hundred nine".