4691 has 2 divisors, whose sum is σ = 4692. Its totient is φ = 4690.

The previous prime is 4679. The next prime is 4703. The reversal of 4691 is 1964.

It can be divided in two parts, 46 and 91, that multiplied together give a triangular number (4186 = T_{91}).

It is a balanced prime because it is at equal distance from previous prime (4679) and next prime (4703).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-4691 is a prime.

It is a plaindrome in base 8.

It is not a weakly prime, because it can be changed into another prime (4621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2345 + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (2346).

4691 is a deficient number, since it is larger than the sum of its proper divisors (1).

4691 is an equidigital number, since it uses as much as digits as its factorization.

4691 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

The square root of 4691 is about 68.4908753047. The cubic root of 4691 is about 16.7399880764.

The spelling of 4691 in words is "four thousand, six hundred ninety-one".

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