97238800 has 60 divisors (see below), whose sum is σ = 234714640. Its totient is φ = 38712960.

The previous prime is 97238773. The next prime is 97238807. The reversal of 97238800 is 883279.

It is a self number, because there is not a number n which added to its sum of digits gives 97238800.

It is not an unprimeable number, because it can be changed into a prime (97238807) 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, 112771 + ... + 113629.

Almost surely, 2^97238800 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 97238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117357320).

97238800 is an abundant number, since it is smaller than the sum of its proper divisors (137475840).

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

97238800 is a wasteful number, since it uses less digits than its factorization.

97238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 97238800 is about 9860.9735827655. The cubic root of 97238800 is about 459.8468299107.

The spelling of 97238800 in words is "ninety-seven million, two hundred thirty-eight thousand, eight hundred".