10829841 has 8 divisors (see below), whose sum is σ = 15752544. Its totient is φ = 6563520.

The previous prime is 10829837. The next prime is 10829887. The reversal of 10829841 is 14892801.

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

It is not a de Polignac number, because 10829841 - 2² = 10829837 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 328177 = 10829841 / (1 + 0 + 8 + 2 + 9 + 8 + 4 + 1).

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10829801) 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, 164056 + ... + 164121.

It is an arithmetic number, because the mean of its divisors is an integer number (1969068).

Almost surely, 2^10829841 is an apocalyptic number.

10829841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10829841 is a deficient number, since it is larger than the sum of its proper divisors (4922703).

10829841 is a wasteful number, since it uses less digits than its factorization.

10829841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328191.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10829841 is about 3290.8723767415. The cubic root of 10829841 is about 221.2452863754.

The spelling of 10829841 in words is "ten million, eight hundred twenty-nine thousand, eight hundred forty-one".