20307 has 8 divisors (see below), whose sum is σ = 30976. Its totient is φ = 11592.

The previous prime is 20297. The next prime is 20323. The reversal of 20307 is 70302.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20307 - 2⁸ = 20051 is a prime.

It is the 143-rd Hogben number.

It is a Duffinian number.

20307 is a lucky number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 20292 and 20301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20307.

It is not an unprimeable number, because it can be changed into a prime (20327) by changing a digit.

It is a nontrivial repunit in base 142.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (3872).

2²⁰³⁰⁷ is an apocalyptic number.

20307 is a deficient number, since it is larger than the sum of its proper divisors (10669).

20307 is an equidigital number, since it uses as much as digits as its factorization.

20307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 20307 is about 142.5026315546. The cubic root of 20307 is about 27.2823592241.

Adding to 20307 its reverse (70302), we get a palindrome (90609).

The spelling of 20307 in words is "twenty thousand, three hundred seven", and thus it is an iban number.