10217952 has 72 divisors (see below), whose sum is σ = 30781296. Its totient is φ = 3204096.

The previous prime is 10217917. The next prime is 10217971. The reversal of 10217952 is 25971201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3853 + ... + 5939.

It is an arithmetic number, because the mean of its divisors is an integer number (427518).

Almost surely, 2^10217952 is an apocalyptic number.

10217952 is a gapful number since it is divisible by the number (12) 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 10217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390648).

10217952 is an abundant number, since it is smaller than the sum of its proper divisors (20563344).

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

10217952 is a wasteful number, since it uses less digits than its factorization.

10217952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10217952 is about 3196.5531436220. The cubic root of 10217952 is about 216.9974445253.

The spelling of 10217952 in words is "ten million, two hundred seventeen thousand, nine hundred fifty-two".