10829975 has 24 divisors (see below), whose sum is σ = 14790720. Its totient is φ = 7816320.

The previous prime is 10829971. The next prime is 10829977. The reversal of 10829975 is 57992801.

It is not a de Polignac number, because 10829975 - 2² = 10829971 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14921 + ... + 15629.

It is an arithmetic number, because the mean of its divisors is an integer number (616280).

Almost surely, 2^10829975 is an apocalyptic number.

10829975 is a deficient number, since it is larger than the sum of its proper divisors (3960745).

10829975 is a wasteful number, since it uses less digits than its factorization.

10829975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 10829975 is about 3290.8927360216. The cubic root of 10829975 is about 221.2461988771.

The spelling of 10829975 in words is "ten million, eight hundred twenty-nine thousand, nine hundred seventy-five".