10097984 has 56 divisors (see below), whose sum is σ = 22082760. Its totient is φ = 4552704.

The previous prime is 10097977. The next prime is 10097999. The reversal of 10097984 is 48979001.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 7139584 = 1720^2 + 2672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43982 + ... + 44210.

It is an arithmetic number, because the mean of its divisors is an integer number (394335).

Almost surely, 2^10097984 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 10097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041380).

10097984 is an abundant number, since it is smaller than the sum of its proper divisors (11984776).

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

10097984 is a wasteful number, since it uses less digits than its factorization.

10097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 10097984 is about 3177.7325249303. The cubic root of 10097984 is about 216.1448502578.

The spelling of 10097984 in words is "ten million, ninety-seven thousand, nine hundred eighty-four".