20137307 has 2 divisors, whose sum is σ = 20137308. Its totient is φ = 20137306.

The previous prime is 20137301. The next prime is 20137309. The reversal of 20137307 is 70373102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20137307 - 2¹⁴ = 20120923 is a prime.

It is a super-2 number, since 2×20137307² = 811022266424498, which contains 22 as substring.

Together with 20137309, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (20137301) 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 as a sum of consecutive naturals, namely, 10068653 + 10068654.

It is an arithmetic number, because the mean of its divisors is an integer number (10068654).

Almost surely, 2^20137307 is an apocalyptic number.

20137307 is a deficient number, since it is larger than the sum of its proper divisors (1).

20137307 is an equidigital number, since it uses as much as digits as its factorization.

20137307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 20137307 is about 4487.4610861823. The cubic root of 20137307 is about 272.0615264147.

The spelling of 20137307 in words is "twenty million, one hundred thirty-seven thousand, three hundred seven".