10709835 has 32 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 5309568.

The previous prime is 10709833. The next prime is 10709861. The reversal of 10709835 is 53890701.

It is not a de Polignac number, because 10709835 - 2¹ = 10709833 is a prime.

It is a super-2 number, since 2×10709835² = 229401131454450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10709796 and 10709805.

It is not an unprimeable number, because it can be changed into a prime (10709833) 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 31 ways as a sum of consecutive naturals, for example, 12346 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^10709835 is an apocalyptic number.

10709835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10709835 is a deficient number, since it is larger than the sum of its proper divisors (7676085).

10709835 is a wasteful number, since it uses less digits than its factorization.

10709835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 10709835 is about 3272.5884250850. The cubic root of 10709835 is about 220.4250391786.

The spelling of 10709835 in words is "ten million, seven hundred nine thousand, eight hundred thirty-five".