9837972 has 54 divisors (see below), whose sum is σ = 26280618. Its totient is φ = 3102624.

The previous prime is 9837941. The next prime is 9837977. The reversal of 9837972 is 2797389.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 1052676 = 2964^2 + 1026^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9837977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12618 + ... + 13374.

Almost surely, 2^9837972 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 9837972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140309).

9837972 is an abundant number, since it is smaller than the sum of its proper divisors (16442646).

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

9837972 is a wasteful number, since it uses less digits than its factorization.

9837972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 781 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 9837972 is about 3136.5541602211. The cubic root of 9837972 is about 214.2735314979.

The spelling of 9837972 in words is "nine million, eight hundred thirty-seven thousand, nine hundred seventy-two".