97219600 has 135 divisors (see below), whose sum is σ = 256968517. Its totient is φ = 35338240.

The previous prime is 97219531. The next prime is 97219601. The reversal of 97219600 is 691279.

The square root of 97219600 is 9860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31674384 + 65545216 = 5628^2 + 8096^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97219601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3352386 + ... + 3352414.

Almost surely, 2^97219600 is an apocalyptic number.

97219600 is the 9860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97219600

97219600 is an abundant number, since it is smaller than the sum of its proper divisors (159748917).

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

97219600 is a wasteful number, since it uses less digits than its factorization.

97219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The cubic root of 97219600 is about 459.8165620193.

It can be divided in two parts, 9721 and 9600, that added together give a square (19321 = 139²).

The spelling of 97219600 in words is "ninety-seven million, two hundred nineteen thousand, six hundred".