972300 has 72 divisors (see below), whose sum is σ = 3222016. Its totient is φ = 221760.

The previous prime is 972277. The next prime is 972313. The reversal of 972300 is 3279.

972300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

972300 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 23 ways as a sum of consecutive naturals, for example, 1869 + ... + 2331.

2⁹⁷²³⁰⁰ 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 972300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611008).

972300 is an abundant number, since it is smaller than the sum of its proper divisors (2249716).

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

972300 is a wasteful number, since it uses less digits than its factorization.

972300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

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

The square root of 972300 is about 986.0527369264. The cubic root of 972300 is about 99.0680075520.

Subtracting from 972300 its sum of digits (21), we obtain a palindrome (972279).

Adding to 972300 its reverse (3279), we get a palindrome (975579).

It can be divided in two parts, 972 and 300, that multiplied together give a square (291600 = 540²).

The spelling of 972300 in words is "nine hundred seventy-two thousand, three hundred".