10135965 has 32 divisors (see below), whose sum is σ = 19042560. Its totient is φ = 4506624.

The previous prime is 10135963. The next prime is 10135969. The reversal of 10135965 is 56953101.

10135965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135965 - 2¹ = 10135963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135963) 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, 2581 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (595080).

Almost surely, 2^10135965 is an apocalyptic number.

10135965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10135965 is a deficient number, since it is larger than the sum of its proper divisors (8906595).

10135965 is a wasteful number, since it uses less digits than its factorization.

10135965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 10135965 is about 3183.7030326335. The cubic root of 10135965 is about 216.4155025151.

The spelling of 10135965 in words is "ten million, one hundred thirty-five thousand, nine hundred sixty-five".