97143200 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 28339200.

The previous prime is 97143199. The next prime is 97143203. The reversal of 97143200 is 234179.

It is a self number, because there is not a number n which added to its sum of digits gives 97143200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97143203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170359 + ... + 1170441.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^97143200 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 97143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

97143200 is an abundant number, since it is smaller than the sum of its proper divisors (217836640).

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

97143200 is a wasteful number, since it uses less digits than its factorization.

97143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 97143200 is about 9856.1249992073. The cubic root of 97143200 is about 459.6960815413.

Adding to 97143200 its reverse (234179), we get a palindrome (97377379).

The spelling of 97143200 in words is "ninety-seven million, one hundred forty-three thousand, two hundred".