971797824 has 224 divisors, whose sum is σ = 2969239680. Its totient is φ = 315394560.

The previous prime is 971797823. The next prime is 971797873. The reversal of 971797824 is 428797179.

971797824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×971797824² = 1888782021462269952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1778112) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971797823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7418239 + ... + 7418369.

Almost surely, 2^971797824 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 971797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484619840).

971797824 is an abundant number, since it is smaller than the sum of its proper divisors (1997441856).

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

971797824 is an equidigital number, since it uses as much as digits as its factorization.

971797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 971797824 is about 31173.6719685057. The cubic root of 971797824 is about 990.5094898192.

The spelling of 971797824 in words is "nine hundred seventy-one million, seven hundred ninety-seven thousand, eight hundred twenty-four".