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137323097 is a prime number
BaseRepresentation
bin10000010111101…
…10001001011001
3100120101201212122
420023312021121
5240123314342
621343151025
73255140612
oct1013661131
9316351778
10137323097
117057396a
1239ba5475
13225b0a92
1414348c09
15c0c84d2
hex82f6259

137323097 has 2 divisors, whose sum is σ = 137323098. Its totient is φ = 137323096.

The previous prime is 137323061. The next prime is 137323111. The reversal of 137323097 is 790323731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105185536 + 32137561 = 10256^2 + 5669^2 .

It is a cyclic number.

It is not a de Polignac number, because 137323097 - 212 = 137319001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137323057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68661548 + 68661549.

It is an arithmetic number, because the mean of its divisors is an integer number (68661549).

Almost surely, 2137323097 is an apocalyptic number.

It is an amenable number.

137323097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137323097 is an equidigital number, since it uses as much as digits as its factorization.

137323097 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 35.

The square root of 137323097 is about 11718.4938025328. The cubic root of 137323097 is about 515.9186130977.

The spelling of 137323097 in words is "one hundred thirty-seven million, three hundred twenty-three thousand, ninety-seven".