3877 has 2 divisors, whose sum is σ = 3878. Its totient is φ = 3876.

The previous prime is 3863. The next prime is 3881. The reversal of 3877 is 7783.

Subtracting from 3877 its product of digits (1176), we obtain a triangular number (2701 = T_{73}).

It can be divided in two parts, 38 and 77, that multiplied together give a triangular number (2926 = T_{76}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 961 = 54^2 + 31^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-3877 is a prime.

It is a super-2 number, since 2×3877^{2} = 30062258, which contains 22 as substring.

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3847) 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, 1938 + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (1939).

It is an amenable number.

3877 is a deficient number, since it is larger than the sum of its proper divisors (1).

3877 is an equidigital number, since it uses as much as digits as its factorization.

3877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 3877 is about 62.2655603042. The cubic root of 3877 is about 15.7096050601.

The spelling of 3877 in words is "three thousand, eight hundred seventy-seven".

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