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13657117 is a prime number
BaseRepresentation
bin110100000110…
…010000011101
3221200212001011
4310012100131
511444011432
61204415221
7224040445
oct64062035
927625034
1013657117
117788881
1246a7511
132aa2346
141b57125
1512eb847
hexd0641d

13657117 has 2 divisors, whose sum is σ = 13657118. Its totient is φ = 13657116.

The previous prime is 13657087. The next prime is 13657123. The reversal of 13657117 is 71175631.

13657117 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13039321 + 617796 = 3611^2 + 786^2 .

It is a cyclic number.

It is not a de Polignac number, because 13657117 - 27 = 13656989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13657157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6828558 + 6828559.

It is an arithmetic number, because the mean of its divisors is an integer number (6828559).

Almost surely, 213657117 is an apocalyptic number.

It is an amenable number.

13657117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13657117 is an equidigital number, since it uses as much as digits as its factorization.

13657117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4410, while the sum is 31.

The square root of 13657117 is about 3695.5536797617. The cubic root of 13657117 is about 239.0303294201.

The spelling of 13657117 in words is "thirteen million, six hundred fifty-seven thousand, one hundred seventeen".