Search a number
-
+
137231597 is a prime number
BaseRepresentation
bin10000010110111…
…11110011101101
3100120020002100202
420023133303231
5240112402342
621341203245
73254310056
oct1013376355
9316202322
10137231597
1170511148
1239b60525
132257b239
141432372d
15c0ab332
hex82dfced

137231597 has 2 divisors, whose sum is σ = 137231598. Its totient is φ = 137231596.

The previous prime is 137231537. The next prime is 137231609. The reversal of 137231597 is 795132731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103347556 + 33884041 = 10166^2 + 5821^2 .

It is an emirp because it is prime and its reverse (795132731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137231597 - 210 = 137230573 is a prime.

It is a super-2 number, since 2×1372315972 = 37665022430340818, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137231597.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137231537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68615798 + 68615799.

It is an arithmetic number, because the mean of its divisors is an integer number (68615799).

Almost surely, 2137231597 is an apocalyptic number.

It is an amenable number.

137231597 is a deficient number, since it is larger than the sum of its proper divisors (1).

137231597 is an equidigital number, since it uses as much as digits as its factorization.

137231597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 38.

The square root of 137231597 is about 11714.5890666297. The cubic root of 137231597 is about 515.8040000846.

The spelling of 137231597 in words is "one hundred thirty-seven million, two hundred thirty-one thousand, five hundred ninety-seven".