10829257 has 4 divisors (see below), whose sum is σ = 10837636. Its totient is φ = 10820880.

The previous prime is 10829239. The next prime is 10829279. The reversal of 10829257 is 75292801.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 7458361 = 1836^2 + 2731^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829257 - 2¹¹ = 10827209 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1794 + ... + 4987.

It is an arithmetic number, because the mean of its divisors is an integer number (2709409).

Almost surely, 2^10829257 is an apocalyptic number.

It is an amenable number.

10829257 is a deficient number, since it is larger than the sum of its proper divisors (8379).

10829257 is an equidigital number, since it uses as much as digits as its factorization.

10829257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 10829257 is about 3290.7836452736. The cubic root of 10829257 is about 221.2413094142.

The spelling of 10829257 in words is "ten million, eight hundred twenty-nine thousand, two hundred fifty-seven".