20137309 has 2 divisors, whose sum is σ = 20137310. Its totient is φ = 20137308.

The previous prime is 20137307. The next prime is 20137331. The reversal of 20137309 is 90373102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18301284 + 1836025 = 4278^2 + 1355^2 .

It is a cyclic number.

It is not a de Polignac number, because 20137309 - 2¹ = 20137307 is a prime.

It is a super-2 number, since 2×20137309² = 811022427522962, which contains 22 as substring.

Together with 20137307, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a congruent number.

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, 10068654 + 10068655.

It is an arithmetic number, because the mean of its divisors is an integer number (10068655).

Almost surely, 2^20137309 is an apocalyptic number.

It is an amenable number.

20137309 is a deficient number, since it is larger than the sum of its proper divisors (1).

20137309 is an equidigital number, since it uses as much as digits as its factorization.

20137309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 20137309 is about 4487.4613090254. The cubic root of 20137309 is about 272.0615354216.

The spelling of 20137309 in words is "twenty million, one hundred thirty-seven thousand, three hundred nine".