10829953 has 8 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 10654080.

The previous prime is 10829939. The next prime is 10829957. The reversal of 10829953 is 35992801.

10829953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is the 1344-th star number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10829953 - 2⁵ = 10829921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10829957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29988 + ... + 30346.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^10829953 is an apocalyptic number.

It is an amenable number.

10829953 is a deficient number, since it is larger than the sum of its proper divisors (177407).

10829953 is an equidigital number, since it uses as much as digits as its factorization.

10829953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 10829953 is about 3290.8893934619. The cubic root of 10829953 is about 221.2460490639.

The spelling of 10829953 in words is "ten million, eight hundred twenty-nine thousand, nine hundred fifty-three".