971200 has 42 divisors (see below), whose sum is σ = 2393696. Its totient is φ = 387840.

The previous prime is 971197. The next prime is 971207. The reversal of 971200 is 2179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971207) 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, 1297 + ... + 1903.

2⁹⁷¹²⁰⁰ 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 971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196848).

971200 is an abundant number, since it is smaller than the sum of its proper divisors (1422496).

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

971200 is a wasteful number, since it uses less digits than its factorization.

971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 971200 is about 985.4947995804. The cubic root of 971200 is about 99.0306336517.

Adding to 971200 its reverse (2179), we get a palindrome (973379).

The spelling of 971200 in words is "nine hundred seventy-one thousand, two hundred".