10535835 has 32 divisors (see below), whose sum is σ = 18109440. Its totient is φ = 5211648.

The previous prime is 10535827. The next prime is 10535839. The reversal of 10535835 is 53853501.

It is not a de Polignac number, because 10535835 - 2³ = 10535827 is a prime.

It is a super-2 number, since 2×10535835² = 222007638294450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19884 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (565920).

Almost surely, 2^10535835 is an apocalyptic number.

10535835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10535835 is a deficient number, since it is larger than the sum of its proper divisors (7573605).

10535835 is a wasteful number, since it uses less digits than its factorization.

10535835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 10535835 is about 3245.8950999686. The cubic root of 10535835 is about 219.2247853565.

The spelling of 10535835 in words is "ten million, five hundred thirty-five thousand, eight hundred thirty-five".