973800 has 72 divisors (see below), whose sum is σ = 3276390. Its totient is φ = 259200.

The previous prime is 973789. The next prime is 973801. The reversal of 973800 is 8379.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 675684 + 298116 = 822^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (973801) by changing a digit.

973800 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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1530 + ... + 2070.

2⁹⁷³⁸⁰⁰ is an apocalyptic number.

973800 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 973800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638195).

973800 is an abundant number, since it is smaller than the sum of its proper divisors (2302590).

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

973800 is a wasteful number, since it uses less digits than its factorization.

973800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 973800 is about 986.8130522039. The cubic root of 973800 is about 99.1189265616.

The spelling of 973800 in words is "nine hundred seventy-three thousand, eight hundred".