3977 has 4 divisors (see below), whose sum is σ = 4116. Its totient is φ = 3840.

The previous prime is 3967. The next prime is 3989. The reversal of 3977 is 7793.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 841 + 3136 = 29^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 3977 - 2¹⁰ = 2953 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3907) 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 in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

2³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

3977 is a deficient number, since it is larger than the sum of its proper divisors (139).

3977 is an equidigital number, since it uses as much as digits as its factorization.

3977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 1323, while the sum is 26.

The square root of 3977 is about 63.0634601017. The cubic root of 3977 is about 15.8435268309.

It can be divided in two parts, 397 and 7, that added together give a palindrome (404).

The spelling of 3977 in words is "three thousand, nine hundred seventy-seven".