3163 has 2 divisors, whose sum is σ = 3164. Its totient is φ = 3162.

The previous prime is 3137. The next prime is 3167. The reversal of 3163 is 3613.

Adding to 3163 its reverse (3613), we get a palindrome (6776).

It can be divided in two parts, 31 and 63, that multiplied together give a triangular number (1953 = T_{62}).

It is a strong prime.

It is an emirp because it is prime and its reverse (3613) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-3163 is a prime.

It is a super-3 number, since 3×3163^{3} = 94933355241, which contains 333 as substring.

3163 is a lucky number.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (3167) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1581 + 1582.

It is an arithmetic number, because the mean of its divisors is an integer number (1582).

3163 is a deficient number, since it is larger than the sum of its proper divisors (1).

3163 is an equidigital number, since it uses as much as digits as its factorization.

3163 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 3163 is about 56.2405547626. The cubic root of 3163 is about 14.6791101926.

The spelling of 3163 in words is "three thousand, one hundred sixty-three".

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