973200 has 60 divisors (see below), whose sum is σ = 3121328. Its totient is φ = 259200.

The previous prime is 973187. The next prime is 973213. The reversal of 973200 is 2379.

973200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (973187) and next prime (973213).

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a nialpdrome in base 10 and base 16.

It is an unprimeable number.

973200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795 + ... + 1605.

2⁹⁷³²⁰⁰ 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 973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560664).

973200 is an abundant number, since it is smaller than the sum of its proper divisors (2148128).

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

973200 is a wasteful number, since it uses less digits than its factorization.

973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 973200 is about 986.5089964111. The cubic root of 973200 is about 99.0985652367.

Adding to 973200 its reverse (2379), we get a palindrome (975579).

The spelling of 973200 in words is "nine hundred seventy-three thousand, two hundred".