Search a number
-
+
137096969 is a prime number
BaseRepresentation
bin10000010101111…
…10111100001001
3100112222020200112
420022332330021
5240044100334
621334244105
73253206422
oct1012767411
9315866615
10137096969
1170429a89
1239ab6635
1322531b89
14142ca649
15c0814ce
hex82bef09

137096969 has 2 divisors, whose sum is σ = 137096970. Its totient is φ = 137096968.

The previous prime is 137096929. The next prime is 137096983. The reversal of 137096969 is 969690731.

137096969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88585744 + 48511225 = 9412^2 + 6965^2 .

It is a cyclic number.

It is not a de Polignac number, because 137096969 - 212 = 137092873 is a prime.

It is a super-2 number, since 2×1370969692 = 37591157817973922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137096909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68548484 + 68548485.

It is an arithmetic number, because the mean of its divisors is an integer number (68548485).

Almost surely, 2137096969 is an apocalyptic number.

It is an amenable number.

137096969 is a deficient number, since it is larger than the sum of its proper divisors (1).

137096969 is an equidigital number, since it uses as much as digits as its factorization.

137096969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 551124, while the sum is 50.

The square root of 137096969 is about 11708.8414883796. The cubic root of 137096969 is about 515.6352722239.

The spelling of 137096969 in words is "one hundred thirty-seven million, ninety-six thousand, nine hundred sixty-nine".