10307 has 4 divisors (see below), whose sum is σ = 11256. Its totient is φ = 9360.

The previous prime is 10303. The next prime is 10313. The reversal of 10307 is 70301.

10307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10307 - 2^{2} = 10303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11), and also a Moran number because the ratio is a prime number: 937 = 10307 / (1 + 0 + 3 + 0 + 7).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10307.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (2814).

2^{10307} is an apocalyptic number.

10307 is a deficient number, since it is larger than the sum of its proper divisors (949).

10307 is an equidigital number, since it uses as much as digits as its factorization.

10307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 10307 is about 101.5233963183. The cubic root of 10307 is about 21.7625989453.

Subtracting from 10307 its sum of digits (11), we obtain a triangular number (10296 = T_{143}).

Adding to 10307 its reverse (70301), we get a palindrome (80608).

The spelling of 10307 in words is "ten thousand, three hundred seven", and thus it is an iban number.

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