4131977 has 2 divisors, whose sum is σ = 4131978. Its totient is φ = 4131976.

The previous prime is 4131971. The next prime is 4131979. The reversal of 4131977 is 7791314.

4131977 is digitally balanced in base 2, 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., 3444736 + 687241 = 1856^2 + 829^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131977 - 2⁴ = 4131961 is a prime.

Together with 4131979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4131971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065988 + 2065989.

It is an arithmetic number, because the mean of its divisors is an integer number (2065989).

Almost surely, 2^4131977 is an apocalyptic number.

It is an amenable number.

4131977 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131977 is an equidigital number, since it uses as much as digits as its factorization.

4131977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 32.

The square root of 4131977 is about 2032.7264941452. The cubic root of 4131977 is about 160.4670856378.

The spelling of 4131977 in words is "four million, one hundred thirty-one thousand, nine hundred seventy-seven".