97938600 has 192 divisors, whose sum is σ = 325693440. Its totient is φ = 24288000.

The previous prime is 97938583. The next prime is 97938601. The reversal of 97938600 is 683979.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97938601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648525 + ... + 648675.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^97938600 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 97938600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

97938600 is an abundant number, since it is smaller than the sum of its proper divisors (227754840).

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

97938600 is a wasteful number, since it uses less digits than its factorization.

97938600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 97938600 is about 9896.3932824034. The cubic root of 97938600 is about 460.9473231077.

The spelling of 97938600 in words is "ninety-seven million, nine hundred thirty-eight thousand, six hundred".