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137311997 is a prime number
BaseRepresentation
bin10000010111100…
…11011011111101
3100120101011122112
420023303123331
5240122440442
621343023405
73255063344
oct1013633375
9316334575
10137311997
1170566599
1239b9ab65
13225a8a04
1414344b5b
15c0c5082
hex82f36fd

137311997 has 2 divisors, whose sum is σ = 137311998. Its totient is φ = 137311996.

The previous prime is 137311961. The next prime is 137312017. The reversal of 137311997 is 799113731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132388036 + 4923961 = 11506^2 + 2219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137311997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137311297) 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, 68655998 + 68655999.

It is an arithmetic number, because the mean of its divisors is an integer number (68655999).

Almost surely, 2137311997 is an apocalyptic number.

It is an amenable number.

137311997 is a deficient number, since it is larger than the sum of its proper divisors (1).

137311997 is an equidigital number, since it uses as much as digits as its factorization.

137311997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35721, while the sum is 41.

The square root of 137311997 is about 11718.0201826076. The cubic root of 137311997 is about 515.9047119380.

The spelling of 137311997 in words is "one hundred thirty-seven million, three hundred eleven thousand, nine hundred ninety-seven".