97138800 has 270 divisors, whose sum is σ = 372191456. Its totient is φ = 23443200.

The previous prime is 97138781. The next prime is 97138813. The reversal of 97138800 is 883179.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435489 + ... + 435711.

Almost surely, 2^97138800 is an apocalyptic number.

97138800 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 97138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186095728).

97138800 is an abundant number, since it is smaller than the sum of its proper divisors (275052656).

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

97138800 is a wasteful number, since it uses less digits than its factorization.

97138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 97138800 is about 9855.9017852249. The cubic root of 97138800 is about 459.6891409515.

The spelling of 97138800 in words is "ninety-seven million, one hundred thirty-eight thousand, eight hundred".