972336 has 40 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 316480.

The previous prime is 972329. The next prime is 972337. The reversal of 972336 is 633279.

It is a happy number.

972336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972337) by changing a digit.

972336 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 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 2471.

2⁹⁷²³³⁶ 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 972336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

972336 is an abundant number, since it is smaller than the sum of its proper divisors (1598928).

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

972336 is a wasteful number, since it uses less digits than its factorization.

972336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 972336 is about 986.0709913591. The cubic root of 972336 is about 99.0692302214.

The spelling of 972336 in words is "nine hundred seventy-two thousand, three hundred thirty-six".