97538400 has 432 divisors, whose sum is σ = 389975040. Its totient is φ = 22809600.

The previous prime is 97538359. The next prime is 97538407. The reversal of 97538400 is 483579.

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 (97538407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3146385 + ... + 3146415.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^97538400 is an apocalyptic number.

97538400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

97538400 is an abundant number, since it is smaller than the sum of its proper divisors (292436640).

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

97538400 is a wasteful number, since it uses less digits than its factorization.

97538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97538400 is about 9876.1530972338. The cubic root of 97538400 is about 460.3186198361.

The spelling of 97538400 in words is "ninety-seven million, five hundred thirty-eight thousand, four hundred".