972216 has 64 divisors (see below), whose sum is σ = 3091200. Its totient is φ = 277344.

The previous prime is 972199. The next prime is 972221. The reversal of 972216 is 612279.

972216 = T₄₈₉ + T₄₉₀ + ... + T₄₉₆.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 972216.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972216.

It is an unprimeable number.

972216 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 15 ways as a sum of consecutive naturals, for example, 1191 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (48300).

2⁹⁷²²¹⁶ 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 972216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545600).

972216 is an abundant number, since it is smaller than the sum of its proper divisors (2118984).

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

972216 is a wasteful number, since it uses less digits than its factorization.

972216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

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

The square root of 972216 is about 986.0101419357. The cubic root of 972216 is about 99.0651545395.

The spelling of 972216 in words is "nine hundred seventy-two thousand, two hundred sixteen".