97144320 has 320 divisors, whose sum is σ = 384975360. Its totient is φ = 20348928.

The previous prime is 97144309. The next prime is 97144331. The reversal of 97144320 is 2344179.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97144309) and next prime (97144331).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698811 + ... + 698949.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^97144320 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 97144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

97144320 is an abundant number, since it is smaller than the sum of its proper divisors (287831040).

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

97144320 is a wasteful number, since it uses less digits than its factorization.

97144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 97144320 is about 9856.1818165048. The cubic root of 97144320 is about 459.6978482034.

Adding to 97144320 its reverse (2344179), we get a palindrome (99488499).

The spelling of 97144320 in words is "ninety-seven million, one hundred forty-four thousand, three hundred twenty".