10829035 has 32 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 6986112.

The previous prime is 10829033. The next prime is 10829047. The reversal of 10829035 is 53092801.

It is not a de Polignac number, because 10829035 - 2¹ = 10829033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10828994 and 10829012.

It is not an unprimeable number, because it can be changed into a prime (10829033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47592 + ... + 47818.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^10829035 is an apocalyptic number.

10829035 is a deficient number, since it is larger than the sum of its proper divisors (4930325).

10829035 is a wasteful number, since it uses less digits than its factorization.

10829035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 10829035 is about 3290.7499145332. The cubic root of 10829035 is about 221.2397975867.

The spelling of 10829035 in words is "ten million, eight hundred twenty-nine thousand, thirty-five".