997200 has 90 divisors (see below), whose sum is σ = 3473054. Its totient is φ = 264960.

The previous prime is 997163. The next prime is 997201. The reversal of 997200 is 2799.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 992016 = 72^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997201) by changing a digit.

997200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 3462 + ... + 3738.

2⁹⁹⁷²⁰⁰ is an apocalyptic number.

997200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736527).

997200 is an abundant number, since it is smaller than the sum of its proper divisors (2475854).

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

997200 is a wasteful number, since it uses less digits than its factorization.

997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 997200 is about 998.5990186256. The cubic root of 997200 is about 99.9065794198.

Adding to 997200 its reverse (2799), we get a palindrome (999999).

The spelling of 997200 in words is "nine hundred ninety-seven thousand, two hundred".