4677741 has 12 divisors (see below), whose sum is σ = 6794268. Its totient is φ = 3101184.

The previous prime is 4677713. The next prime is 4677779. The reversal of 4677741 is 1477764.

It can be written as a sum of positive squares in 2 ways, for example, as 1512900 + 3164841 = 1230^2 + 1779^2 .

It is not a de Polignac number, because 4677741 - 2⁵ = 4677709 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4677696 and 4677705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677241) 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 in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (566189).

Almost surely, 2^4677741 is an apocalyptic number.

It is an amenable number.

4677741 is a deficient number, since it is larger than the sum of its proper divisors (2116527).

4677741 is a wasteful number, since it uses less digits than its factorization.

4677741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2889 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 4677741 is about 2162.8085906987. The cubic root of 4677741 is about 167.2420146737.

The spelling of 4677741 in words is "four million, six hundred seventy-seven thousand, seven hundred forty-one".