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20765137 is a prime number
BaseRepresentation
bin100111100110…
…1100111010001
31110001222102011
41033031213101
520303441022
62021022521
7341333521
oct117154721
943058364
1020765137
11107a3178
126b54a41
1343c0783
142a87681
151c52977
hex13cd9d1

20765137 has 2 divisors, whose sum is σ = 20765138. Its totient is φ = 20765136.

The previous prime is 20765123. The next prime is 20765141. The reversal of 20765137 is 73156702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20394256 + 370881 = 4516^2 + 609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20765137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20765099 and 20765108.

It is not a weakly prime, because it can be changed into another prime (20765237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10382568 + 10382569.

It is an arithmetic number, because the mean of its divisors is an integer number (10382569).

Almost surely, 220765137 is an apocalyptic number.

It is an amenable number.

20765137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20765137 is an equidigital number, since it uses as much as digits as its factorization.

20765137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 20765137 is about 4556.8779882722. The cubic root of 20765137 is about 274.8600367658.

It can be divided in two parts, 20765 and 137, that added together give a palindrome (20902).

The spelling of 20765137 in words is "twenty million, seven hundred sixty-five thousand, one hundred thirty-seven".