10829393 has 2 divisors, whose sum is σ = 10829394. Its totient is φ = 10829392.

The previous prime is 10829387. The next prime is 10829407. The reversal of 10829393 is 39392801.

10829393 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6385729 + 4443664 = 2527^2 + 2108^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829393 - 2¹⁰ = 10828369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10829333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414696 + 5414697.

It is an arithmetic number, because the mean of its divisors is an integer number (5414697).

Almost surely, 2^10829393 is an apocalyptic number.

It is an amenable number.

10829393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829393 is an equidigital number, since it uses as much as digits as its factorization.

10829393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 10829393 is about 3290.8043089798. The cubic root of 10829393 is about 221.2422355686.

The spelling of 10829393 in words is "ten million, eight hundred twenty-nine thousand, three hundred ninety-three".