97318224 has 60 divisors (see below), whose sum is σ = 274399476. Its totient is φ = 32196096.

The previous prime is 97318223. The next prime is 97318253. The reversal of 97318224 is 42281379.

It is a Cunningham number, because it is equal to 9865²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 53758224 = 6600^2 + 7332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97318223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17262 + ... + 22194.

Almost surely, 2^97318224 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 97318224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137199738).

97318224 is an abundant number, since it is smaller than the sum of its proper divisors (177081252).

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

97318224 is a wasteful number, since it uses less digits than its factorization.

97318224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5075 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 97318224 is about 9864.9999493158. Note that the first 4 decimals coincide. The cubic root of 97318224 is about 459.9719957747.

It can be divided in two parts, 9731 and 8224, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 97318224 in words is "ninety-seven million, three hundred eighteen thousand, two hundred twenty-four".