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13706837 is a prime number
BaseRepresentation
bin110100010010…
…011001010101
3221210101020122
4310102121111
512002104322
61205441325
7224335424
oct64223125
927711218
1013706837
117812171
124710245
132abbb71
141b6b2bb
15130b442
hexd12655

13706837 has 2 divisors, whose sum is σ = 13706838. Its totient is φ = 13706836.

The previous prime is 13706813. The next prime is 13706839. The reversal of 13706837 is 73860731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9186961 + 4519876 = 3031^2 + 2126^2 .

It is a cyclic number.

It is not a de Polignac number, because 13706837 - 26 = 13706773 is a prime.

It is a super-3 number, since 3×137068373 (a number of 22 digits) contains 333 as substring.

Together with 13706839, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13706797 and 13706806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13706839) 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, 6853418 + 6853419.

It is an arithmetic number, because the mean of its divisors is an integer number (6853419).

Almost surely, 213706837 is an apocalyptic number.

It is an amenable number.

13706837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13706837 is an equidigital number, since it uses as much as digits as its factorization.

13706837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 13706837 is about 3702.2745711252. The cubic root of 13706837 is about 239.3200488088.

The spelling of 13706837 in words is "thirteen million, seven hundred six thousand, eight hundred thirty-seven".