20727137 has 2 divisors, whose sum is σ = 20727138. Its totient is φ = 20727136.

The previous prime is 20727103. The next prime is 20727167. The reversal of 20727137 is 73172702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20511841 + 215296 = 4529^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 20727137 - 2⁶ = 20727073 is a prime.

It is a super-2 number, since 2×20727137² = 859228416433538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20727167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10363568 + 10363569.

It is an arithmetic number, because the mean of its divisors is an integer number (10363569).

Almost surely, 2^20727137 is an apocalyptic number.

It is an amenable number.

20727137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20727137 is an equidigital number, since it uses as much as digits as its factorization.

20727137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 20727137 is about 4552.7065576424. The cubic root of 20727137 is about 274.6922706505.

Adding to 20727137 its reverse (73172702), we get a palindrome (93899839).

The spelling of 20727137 in words is "twenty million, seven hundred twenty-seven thousand, one hundred thirty-seven".