97504 has 24 divisors (see below), whose sum is σ = 210168. Its totient is φ = 44160.

The previous prime is 97501. The next prime is 97511. The reversal of 97504 is 40579.

It is an Ulam 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

2⁹⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105084).

97504 is an abundant number, since it is smaller than the sum of its proper divisors (112664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97504 is a wasteful number, since it uses less digits than its factorization.

97504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 97504 is about 312.2563049804. The cubic root of 97504 is about 46.0264498169.

Subtracting from 97504 its sum of digits (25), we obtain a palindrome (97479).

The spelling of 97504 in words is "ninety-seven thousand, five hundred four".