97600 has 42 divisors (see below), whose sum is σ = 244094. Its totient is φ = 38400.

The previous prime is 97583. The next prime is 97607. The reversal of 97600 is 679.

97600 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 97344 = 16^2 + 312^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1570 + ... + 1630.

2⁹⁷⁶⁰⁰ 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 97600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122047).

97600 is an abundant number, since it is smaller than the sum of its proper divisors (146494).

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

97600 is a wasteful number, since it uses less digits than its factorization.

97600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 97600 is about 312.4099870363. The cubic root of 97600 is about 46.0415503593.

The spelling of 97600 in words is "ninety-seven thousand, six hundred".