10165873 has 4 divisors (see below), whose sum is σ = 10198260. Its totient is φ = 10133488.

The previous prime is 10165871. The next prime is 10165913. The reversal of 10165873 is 37856101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37856101 = 269 ⋅140729.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 6036849 = 2032^2 + 2457^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165873 - 2¹ = 10165871 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10165871) 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 3 ways as a sum of consecutive naturals, for example, 15718 + ... + 16351.

It is an arithmetic number, because the mean of its divisors is an integer number (2549565).

Almost surely, 2^10165873 is an apocalyptic number.

It is an amenable number.

10165873 is a deficient number, since it is larger than the sum of its proper divisors (32387).

10165873 is an equidigital number, since it uses as much as digits as its factorization.

10165873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32386.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 10165873 is about 3188.3966189921. The cubic root of 10165873 is about 216.6281512077.

It can be divided in two parts, 1016 and 5873, that added together give a square (6889 = 83²).

The spelling of 10165873 in words is "ten million, one hundred sixty-five thousand, eight hundred seventy-three".