97506200 has 192 divisors, whose sum is σ = 269982720. Its totient is φ = 32384000.

The previous prime is 97506197. The next prime is 97506209. The reversal of 97506200 is 260579.

97506200 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97506209) 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, 2074577 + ... + 2074623.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^97506200 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 97506200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

97506200 is an abundant number, since it is smaller than the sum of its proper divisors (172476520).

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

97506200 is a wasteful number, since it uses less digits than its factorization.

97506200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 97506200 is about 9874.5227732787. The cubic root of 97506200 is about 460.2679598194.

Adding to 97506200 its reverse (260579), we get a palindrome (97766779).

The spelling of 97506200 in words is "ninety-seven million, five hundred six thousand, two hundred".