971979048 has 192 divisors, whose sum is σ = 2937816000. Its totient is φ = 296918784.

The previous prime is 971979023. The next prime is 971979049. The reversal of 971979048 is 840979179.

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

It is a junction number, because it is equal to n+sod(n) for n = 971978985 and 971979003.

It is not an unprimeable number, because it can be changed into a prime (971979049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5618290 + ... + 5618462.

It is an arithmetic number, because the mean of its divisors is an integer number (15301125).

Almost surely, 2^971979048 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 971979048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468908000).

971979048 is an abundant number, since it is smaller than the sum of its proper divisors (1965836952).

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

971979048 is a wasteful number, since it uses less digits than its factorization.

971979048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 971979048 is about 31176.5785165723. The cubic root of 971979048 is about 990.5710571296.

The spelling of 971979048 in words is "nine hundred seventy-one million, nine hundred seventy-nine thousand, forty-eight".