10000965 has 16 divisors (see below), whose sum is σ = 17232768. Its totient is φ = 4923456.

The previous prime is 10000961. The next prime is 10000967. The reversal of 10000965 is 56900001.

It is not a de Polignac number, because 10000965 - 2² = 10000961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25449 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (1077048).

Almost surely, 2^10000965 is an apocalyptic number.

10000965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10000965 is a deficient number, since it is larger than the sum of its proper divisors (7231803).

10000965 is a wasteful number, since it uses less digits than its factorization.

10000965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51308.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10000965 is about 3162.4302363847. The cubic root of 10000965 is about 215.4503988785.

Adding to 10000965 its reverse (56900001), we get a palindrome (66900966).

The spelling of 10000965 in words is "ten million, nine hundred sixty-five", and thus it is an aban number.