97017600 has 216 divisors, whose sum is σ = 332534272. Its totient is φ = 24883200.

The previous prime is 97017593. The next prime is 97017601. The reversal of 97017600 is 671079.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97017601) 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 23 ways as a sum of consecutive naturals, for example, 595119 + ... + 595281.

Almost surely, 2^97017600 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 97017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166267136).

97017600 is an abundant number, since it is smaller than the sum of its proper divisors (235516672).

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

97017600 is a wasteful number, since it uses less digits than its factorization.

97017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 97017600 is about 9849.7512658950. The cubic root of 97017600 is about 459.4978767964.

Adding to 97017600 its reverse (671079), we get a palindrome (97688679).

The spelling of 97017600 in words is "ninety-seven million, seventeen thousand, six hundred".