Search a number
-
+
137036917 is a prime number
BaseRepresentation
bin10000010101100…
…00010001110101
3100112212012022101
420022300101311
5240040140132
621333102101
73252536353
oct1012602165
9315765271
10137036917
1170398956
1239a87931
1322510744
14142b27d3
15c06d7e7
hex82b0475

137036917 has 2 divisors, whose sum is σ = 137036918. Its totient is φ = 137036916.

The previous prime is 137036899. The next prime is 137036929. The reversal of 137036917 is 719630731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134768881 + 2268036 = 11609^2 + 1506^2 .

It is a cyclic number.

It is not a de Polignac number, because 137036917 - 211 = 137034869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137036017) 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, 68518458 + 68518459.

It is an arithmetic number, because the mean of its divisors is an integer number (68518459).

Almost surely, 2137036917 is an apocalyptic number.

It is an amenable number.

137036917 is a deficient number, since it is larger than the sum of its proper divisors (1).

137036917 is an equidigital number, since it uses as much as digits as its factorization.

137036917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 137036917 is about 11706.2768205779. The cubic root of 137036917 is about 515.5599740564.

Adding to 137036917 its product of nonzero digits (23814), we get a palindrome (137060731).

The spelling of 137036917 in words is "one hundred thirty-seven million, thirty-six thousand, nine hundred seventeen".