97824 has 24 divisors (see below), whose sum is σ = 257040. Its totient is φ = 32576.

The previous prime is 97813. The next prime is 97829. The reversal of 97824 is 42879.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 5 and base 13.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 97791 and 97800.

It is not an unprimeable number, because it can be changed into a prime (97829) by changing a digit.

97824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2⁹⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

97824 is an abundant number, since it is smaller than the sum of its proper divisors (159216).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

97824 is a wasteful number, since it uses less digits than its factorization.

97824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 97824 is about 312.7682848372. The cubic root of 97824 is about 46.0767464910.

Subtracting from 97824 its reverse (42879), we obtain a palindrome (54945).

The spelling of 97824 in words is "ninety-seven thousand, eight hundred twenty-four".