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137946817 is a prime number
BaseRepresentation
bin10000011100011…
…10011011000001
3100121120102110101
420032032123001
5240303244232
621404402401
73263346211
oct1016163301
9317512411
10137946817
117095a538
123a246401
132276b948
141446c241
15c19d1e7
hex838e6c1

137946817 has 2 divisors, whose sum is σ = 137946818. Its totient is φ = 137946816.

The previous prime is 137946811. The next prime is 137946871. The reversal of 137946817 is 718649731.

Together with next prime (137946871) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137921536 + 25281 = 11744^2 + 159^2 .

It is an emirp because it is prime and its reverse (718649731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137946817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137946811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68973408 + 68973409.

It is an arithmetic number, because the mean of its divisors is an integer number (68973409).

Almost surely, 2137946817 is an apocalyptic number.

It is an amenable number.

137946817 is a deficient number, since it is larger than the sum of its proper divisors (1).

137946817 is an equidigital number, since it uses as much as digits as its factorization.

137946817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 254016, while the sum is 46.

The square root of 137946817 is about 11745.0762875343. The cubic root of 137946817 is about 516.6985323854.

The spelling of 137946817 in words is "one hundred thirty-seven million, nine hundred forty-six thousand, eight hundred seventeen".