10006314 has 32 divisors (see below), whose sum is σ = 20611584. Its totient is φ = 3237360.

The previous prime is 10006313. The next prime is 10006333. The reversal of 10006314 is 41360001.

10006314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10006293 and 10006302.

It is not an unprimeable number, because it can be changed into a prime (10006313) 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, 35217 + ... + 35499.

It is an arithmetic number, because the mean of its divisors is an integer number (644112).

Almost surely, 2^10006314 is an apocalyptic number.

10006314 is an abundant number, since it is smaller than the sum of its proper divisors (10605270).

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

10006314 is a wasteful number, since it uses less digits than its factorization.

10006314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10006314 is about 3163.2758336889. The cubic root of 10006314 is about 215.4888031320.

Adding to 10006314 its reverse (41360001), we get a palindrome (51366315).

The spelling of 10006314 in words is "ten million, six thousand, three hundred fourteen".