10213792 has 48 divisors (see below), whose sum is σ = 21500640. Its totient is φ = 4762368.

The previous prime is 10213781. The next prime is 10213793. The reversal of 10213792 is 29731201.

10213792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10213793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64978 + ... + 65134.

It is an arithmetic number, because the mean of its divisors is an integer number (447930).

Almost surely, 2^10213792 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 10213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750320).

10213792 is an abundant number, since it is smaller than the sum of its proper divisors (11286848).

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

10213792 is a wasteful number, since it uses less digits than its factorization.

10213792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10213792 is about 3195.9023764815. The cubic root of 10213792 is about 216.9679920511.

Adding to 10213792 its reverse (29731201), we get a palindrome (39944993).

The spelling of 10213792 in words is "ten million, two hundred thirteen thousand, seven hundred ninety-two".