4877 has 2 divisors, whose sum is σ = 4878. Its totient is φ = 4876.

The previous prime is 4871. The next prime is 4889. The reversal of 4877 is 7784.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3721 + 1156 = 61^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 4877 - 2⁴ = 4861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2438 + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (2439).

2⁴⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

4877 is a deficient number, since it is larger than the sum of its proper divisors (1).

4877 is an equidigital number, since it uses as much as digits as its factorization.

4877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1568, while the sum is 26.

The square root of 4877 is about 69.8355210477. The cubic root of 4877 is about 16.9583756751.

Subtracting from 4877 its sum of digits (26), we obtain a triangular number (4851 = T₉₈).

It can be divided in two parts, 487 and 7, that added together give a palindrome (494).

The spelling of 4877 in words is "four thousand, eight hundred seventy-seven".