10165312 has 28 divisors (see below), whose sum is σ = 20871180. Its totient is φ = 4906496.

The previous prime is 10165297. The next prime is 10165319. The reversal of 10165312 is 21356101.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 1498176 = 2944^2 + 1224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10165312.

It is not an unprimeable number, because it can be changed into a prime (10165319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 883 + ... + 4594.

Almost surely, 2^10165312 is an apocalyptic number.

It is an amenable number.

10165312 is an abundant number, since it is smaller than the sum of its proper divisors (10705868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10165312 is an equidigital number, since it uses as much as digits as its factorization.

10165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10165312 is about 3188.3086425251. The cubic root of 10165312 is about 216.6241662858.

It can be divided in two parts, 1016 and 5312, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 10165312 in words is "ten million, one hundred sixty-five thousand, three hundred twelve".