10217984 has 40 divisors (see below), whose sum is σ = 23340768. Its totient is φ = 4377600.

The previous prime is 10217971. The next prime is 10217989. The reversal of 10217984 is 48971201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10217984.

It is not an unprimeable number, because it can be changed into a prime (10217989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2159 + ... + 5009.

Almost surely, 2^10217984 is an apocalyptic number.

10217984 is a gapful number since it is divisible by the number (14) 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 10217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670384).

10217984 is an abundant number, since it is smaller than the sum of its proper divisors (13122784).

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

10217984 is an frugal number, since it uses more digits than its factorization.

10217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 10217984 is about 3196.5581490097. The cubic root of 10217984 is about 216.9976710518.

The spelling of 10217984 in words is "ten million, two hundred seventeen thousand, nine hundred eighty-four".