4677705 has 24 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 2363040.

The previous prime is 4677691. The next prime is 4677709. The reversal of 4677705 is 5077764.

It is not a de Polignac number, because 4677705 - 2¹² = 4673609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4677705.

It is not an unprimeable number, because it can be changed into a prime (4677709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1881 + ... + 3590.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 2^4677705 is an apocalyptic number.

4677705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4677705 is a deficient number, since it is larger than the sum of its proper divisors (3858615).

4677705 is a wasteful number, since it uses less digits than its factorization.

4677705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 4677705 is about 2162.8002681709. The cubic root of 4677705 is about 167.2415856398.

The spelling of 4677705 in words is "four million, six hundred seventy-seven thousand, seven hundred five".