10009935 has 48 divisors (see below), whose sum is σ = 19027008. Its totient is φ = 4838400.

The previous prime is 10009933. The next prime is 10009939. The reversal of 10009935 is 53990001.

It is not a de Polignac number, because 10009935 - 2¹ = 10009933 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10009899 and 10009908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41415 + ... + 41655.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 2^10009935 is an apocalyptic number.

10009935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10009935 is a deficient number, since it is larger than the sum of its proper divisors (9017073).

10009935 is a wasteful number, since it uses less digits than its factorization.

10009935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10009935 is about 3163.8481316271. The cubic root of 10009935 is about 215.5147930837.

Adding to 10009935 its reverse (53990001), we get a palindrome (63999936).

The spelling of 10009935 in words is "ten million, nine thousand, nine hundred thirty-five".