10085965 has 16 divisors (see below), whose sum is σ = 12483072. Its totient is φ = 7819264.

The previous prime is 10085921. The next prime is 10085969. The reversal of 10085965 is 56958001.

It is a cyclic number.

It is not a de Polignac number, because 10085965 - 2¹³ = 10077773 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10085965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085969) 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 15 ways as a sum of consecutive naturals, for example, 39117 + ... + 39373.

It is an arithmetic number, because the mean of its divisors is an integer number (780192).

Almost surely, 2^10085965 is an apocalyptic number.

It is an amenable number.

10085965 is a deficient number, since it is larger than the sum of its proper divisors (2397107).

10085965 is a wasteful number, since it uses less digits than its factorization.

10085965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 10085965 is about 3175.8408335431. The cubic root of 10085965 is about 216.0590616383.

The spelling of 10085965 in words is "ten million, eighty-five thousand, nine hundred sixty-five".