10217424 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 2852736.

The previous prime is 10217423. The next prime is 10217437. The reversal of 10217424 is 42471201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10217424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15469 + ... + 16115.

Almost surely, 2^10217424 is an apocalyptic number.

10217424 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 10217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10217424 is an abundant number, since it is smaller than the sum of its proper divisors (20637744).

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

10217424 is a wasteful number, since it uses less digits than its factorization.

10217424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 10217424 is about 3196.4705535950. The cubic root of 10217424 is about 216.9937067696.

Adding to 10217424 its reverse (42471201), we get a palindrome (52688625).

The spelling of 10217424 in words is "ten million, two hundred seventeen thousand, four hundred twenty-four".