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13706813 is a prime number
BaseRepresentation
bin110100010010…
…011000111101
3221210101012202
4310102120331
512002104223
61205441245
7224335361
oct64223075
927711182
1013706813
11781214a
124710225
132abbb53
141b6b2a1
15130b428
hexd1263d

13706813 has 2 divisors, whose sum is σ = 13706814. Its totient is φ = 13706812.

The previous prime is 13706789. The next prime is 13706837. The reversal of 13706813 is 31860731.

13706813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13706789) and next prime (13706837).

It can be written as a sum of positive squares in only one way, i.e., 13344409 + 362404 = 3653^2 + 602^2 .

It is a cyclic number.

It is not a de Polignac number, because 13706813 - 214 = 13690429 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 (13706843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6853406 + 6853407.

It is an arithmetic number, because the mean of its divisors is an integer number (6853407).

Almost surely, 213706813 is an apocalyptic number.

It is an amenable number.

13706813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13706813 is an equidigital number, since it uses as much as digits as its factorization.

13706813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13706813 is about 3702.2713298731. The cubic root of 13706813 is about 239.3199091295.

The spelling of 13706813 in words is "thirteen million, seven hundred six thousand, eight hundred thirteen".