97945600 has 72 divisors (see below), whose sum is σ = 242972730. Its totient is φ = 39157760.

The previous prime is 97945591. The next prime is 97945609. The reversal of 97945600 is 654979.

It is an interprime number because it is at equal distance from previous prime (97945591) and next prime (97945609).

It can be written as a sum of positive squares in 3 ways, for example, as 87909376 + 10036224 = 9376^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (97945609) 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, 50244 + ... + 52156.

Almost surely, 2^97945600 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 97945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121486365).

97945600 is an abundant number, since it is smaller than the sum of its proper divisors (145027130).

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

97945600 is a wasteful number, since it uses less digits than its factorization.

97945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 97945600 is about 9896.7469402830. The cubic root of 97945600 is about 460.9583046628.

The spelling of 97945600 in words is "ninety-seven million, nine hundred forty-five thousand, six hundred".