9971136 has 84 divisors (see below), whose sum is σ = 32676592. Its totient is φ = 2847744.

The previous prime is 9971131. The next prime is 9971147. The reversal of 9971136 is 6311799.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9971136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2796 + ... + 5268.

Almost surely, 2^9971136 is an apocalyptic number.

9971136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338296).

9971136 is an abundant number, since it is smaller than the sum of its proper divisors (22705456).

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

9971136 is a wasteful number, since it uses less digits than its factorization.

9971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2485 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 9971136 is about 3157.7105630504. The cubic root of 9971136 is about 215.2359839036.

The spelling of 9971136 in words is "nine million, nine hundred seventy-one thousand, one hundred thirty-six".