972613152 has 216 divisors, whose sum is σ = 3297873852. Its totient is φ = 271111680.

The previous prime is 972613141. The next prime is 972613153. The reversal of 972613152 is 251316279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

972613152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 869306256 = 10164^2 + 29484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972613153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23722252 + ... + 23722292.

Almost surely, 2^972613152 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 972613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648936926).

972613152 is an abundant number, since it is smaller than the sum of its proper divisors (2325260700).

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

972613152 is an equidigital number, since it uses as much as digits as its factorization.

972613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 53 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 972613152 is about 31186.7464157453. The cubic root of 972613152 is about 990.7864213488.

The spelling of 972613152 in words is "nine hundred seventy-two million, six hundred thirteen thousand, one hundred fifty-two".