4677795 has 12 divisors (see below), whose sum is σ = 8108256. Its totient is φ = 2494800.

The previous prime is 4677779. The next prime is 4677817. The reversal of 4677795 is 5977764.

It is not a de Polignac number, because 4677795 - 2⁴ = 4677779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 103951 = 4677795 / (4 + 6 + 7 + 7 + 7 + 9 + 5).

4677795 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4677795.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51931 + ... + 52020.

It is an arithmetic number, because the mean of its divisors is an integer number (675688).

Almost surely, 2^4677795 is an apocalyptic number.

4677795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4677795 is a deficient number, since it is larger than the sum of its proper divisors (3430461).

4677795 is a wasteful number, since it uses less digits than its factorization.

4677795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103962 (or 103959 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 4677795 is about 2162.8210744303. The cubic root of 4677795 is about 167.2426582204.

It can be divided in two parts, 46 and 77795, that added together give a square (77841 = 279²).

The spelling of 4677795 in words is "four million, six hundred seventy-seven thousand, seven hundred ninety-five".