9971367000 has 768 divisors, whose sum is σ = 39723540480. Its totient is φ = 2036736000.

The previous prime is 9971366963. The next prime is 9971367001. The reversal of 9971367000 is 7631799.

9971367000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971367001) 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 191 ways as a sum of consecutive naturals, for example, 188138974 + ... + 188139026.

It is an arithmetic number, because the mean of its divisors is an integer number (51723360).

Almost surely, 2^9971367000 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 9971367000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861770240).

9971367000 is an abundant number, since it is smaller than the sum of its proper divisors (29752173480).

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

9971367000 is a wasteful number, since it uses less digits than its factorization.

9971367000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 9971367000 is about 99856.7323719337. The cubic root of 9971367000 is about 2152.3764600542.

Adding to 9971367000 its reverse (7631799), we get a palindrome (9978998799).

The spelling of 9971367000 in words is "nine billion, nine hundred seventy-one million, three hundred sixty-seven thousand".