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13766117 is a prime number
BaseRepresentation
bin110100100000…
…110111100101
3221220101120012
4310200313211
512011003432
61211020005
7225003311
oct64406745
927811505
1013766117
117852762
12473a605
132b0cb41
141b84b41
15131dcb2
hexd20de5

13766117 has 2 divisors, whose sum is σ = 13766118. Its totient is φ = 13766116.

The previous prime is 13766101. The next prime is 13766147. The reversal of 13766117 is 71166731.

13766117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6974881 + 6791236 = 2641^2 + 2606^2 .

It is a cyclic number.

It is not a de Polignac number, because 13766117 - 24 = 13766101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13766147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6883058 + 6883059.

It is an arithmetic number, because the mean of its divisors is an integer number (6883059).

Almost surely, 213766117 is an apocalyptic number.

It is an amenable number.

13766117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13766117 is an equidigital number, since it uses as much as digits as its factorization.

13766117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5292, while the sum is 32.

The square root of 13766117 is about 3710.2718229262. The cubic root of 13766117 is about 239.6645603212.

The spelling of 13766117 in words is "thirteen million, seven hundred sixty-six thousand, one hundred seventeen".