9973536 has 48 divisors (see below), whose sum is σ = 27324864. Its totient is φ = 3179264.

The previous prime is 9973531. The next prime is 9973547. The reversal of 9973536 is 6353799.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9973531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 4466.

It is an arithmetic number, because the mean of its divisors is an integer number (569268).

Almost surely, 2^9973536 is an apocalyptic number.

9973536 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 9973536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662432).

9973536 is an abundant number, since it is smaller than the sum of its proper divisors (17351328).

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

9973536 is a wasteful number, since it uses less digits than its factorization.

9973536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4545 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 9973536 is about 3158.0905623493. The cubic root of 9973536 is about 215.2532512415.

The spelling of 9973536 in words is "nine million, nine hundred seventy-three thousand, five hundred thirty-six".