97715600 has 60 divisors (see below), whose sum is σ = 236175360. Its totient is φ = 38851200.

The previous prime is 97715593. The next prime is 97715603. The reversal of 97715600 is 651779.

It is not an unprimeable number, because it can be changed into a prime (97715603) 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 11 ways as a sum of consecutive naturals, for example, 75761 + ... + 77039.

It is an arithmetic number, because the mean of its divisors is an integer number (3936256).

Almost surely, 2^97715600 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 97715600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118087680).

97715600 is an abundant number, since it is smaller than the sum of its proper divisors (138459760).

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

97715600 is a wasteful number, since it uses less digits than its factorization.

97715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 97715600 is about 9885.1201307824. The cubic root of 97715600 is about 460.5972079393.

The spelling of 97715600 in words is "ninety-seven million, seven hundred fifteen thousand, six hundred".