97224 has 16 divisors (see below), whose sum is σ = 243120. Its totient is φ = 32400.

The previous prime is 97213. The next prime is 97231. The reversal of 97224 is 42279.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4051 = 97224 / (9 + 7 + 2 + 2 + 4).

It is a d-powerful number, because it can be written as 9⁴ + 7⁵ + 2⁷ + 2¹³ + 4⁸ .

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97194 and 97203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2002 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (15195).

2⁹⁷²²⁴ is an apocalyptic number.

It is an amenable number.

97224 is an abundant number, since it is smaller than the sum of its proper divisors (145896).

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 (121560).

97224 is a wasteful number, since it uses less digits than its factorization.

97224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4056 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 97224 is about 311.8076330047. The cubic root of 97224 is about 45.9823498763.

Subtracting from 97224 its reverse (42279), we obtain a palindrome (54945).

The spelling of 97224 in words is "ninety-seven thousand, two hundred twenty-four".