4677 has 4 divisors (see below), whose sum is σ = 6240. Its totient is φ = 3116.

The previous prime is 4673. The next prime is 4679. The reversal of 4677 is 7764.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4677 - 2² = 4673 is a prime.

It is a D-number.

It is a plaindrome in base 10, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2⁴⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

4677 is a deficient number, since it is larger than the sum of its proper divisors (1563).

4677 is a wasteful number, since it uses less digits than its factorization.

4677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562.

The product of its digits is 1176, while the sum is 24.

The square root of 4677 is about 68.3885955405. The cubic root of 4677 is about 16.7233183283.

It can be divided in two parts, 467 and 7, that added together give a palindrome (474).

The spelling of 4677 in words is "four thousand, six hundred seventy-seven".