3659 has 2 divisors, whose sum is σ = 3660. Its totient is φ = 3658.

The previous prime is 3643. The next prime is 3671. The reversal of 3659 is 9563.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3659 - 2^{4} = 3643 is a prime.

It is a Chen prime.

It is a plaindrome in base 7 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3659.

It is not a weakly prime, because it can be changed into another prime (3259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1829 + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (1830).

2^{3659} is an apocalyptic number.

3659 is a deficient number, since it is larger than the sum of its proper divisors (1).

3659 is an equidigital number, since it uses as much as digits as its factorization.

3659 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 3659 is about 60.4896685393. The cubic root of 3659 is about 15.4094617742.

The spelling of 3659 in words is "three thousand, six hundred fifty-nine".

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