3977849 has 2 divisors, whose sum is σ = 3977850. Its totient is φ = 3977848.

The previous prime is 3977819. The next prime is 3977851. The reversal of 3977849 is 9487793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2890000 + 1087849 = 1700^2 + 1043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3977849 is a prime.

Together with 3977851, 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 (3977819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1988924 + 1988925.

It is an arithmetic number, because the mean of its divisors is an integer number (1988925).

Almost surely, 2^3977849 is an apocalyptic number.

It is an amenable number.

3977849 is a deficient number, since it is larger than the sum of its proper divisors (1).

3977849 is an equidigital number, since it uses as much as digits as its factorization.

3977849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 381024, while the sum is 47.

The square root of 3977849 is about 1994.4545620294. The cubic root of 3977849 is about 158.4465416284.

It can be divided in two parts, 397784 and 9, that added together give a palindrome (397793).

The spelling of 3977849 in words is "three million, nine hundred seventy-seven thousand, eight hundred forty-nine".