10385312 has 48 divisors (see below), whose sum is σ = 23732352. Its totient is φ = 4381440.

The previous prime is 10385303. The next prime is 10385339. The reversal of 10385312 is 21358301.

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 7 ways as a sum of consecutive naturals, for example, 15578 + ... + 16230.

It is an arithmetic number, because the mean of its divisors is an integer number (494424).

Almost surely, 2^10385312 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 10385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866176).

10385312 is an abundant number, since it is smaller than the sum of its proper divisors (13347040).

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

10385312 is an equidigital number, since it uses as much as digits as its factorization.

10385312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10385312 is about 3222.6250169699. The cubic root of 10385312 is about 218.1757693609.

The spelling of 10385312 in words is "ten million, three hundred eighty-five thousand, three hundred twelve".