4677873 has 24 divisors (see below), whose sum is σ = 6888672. Its totient is φ = 2813184.

The previous prime is 4677859. The next prime is 4677877. The reversal of 4677873 is 3787764.

It is not a de Polignac number, because 4677873 - 2¹⁰ = 4676849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4677877) 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 23 ways as a sum of consecutive naturals, for example, 69786 + ... + 69852.

It is an arithmetic number, because the mean of its divisors is an integer number (287028).

Almost surely, 2^4677873 is an apocalyptic number.

It is an amenable number.

4677873 is a deficient number, since it is larger than the sum of its proper divisors (2210799).

4677873 is a wasteful number, since it uses less digits than its factorization.

4677873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 4677873 is about 2162.8391063600. The cubic root of 4677873 is about 167.2435877790.

The spelling of 4677873 in words is "four million, six hundred seventy-seven thousand, eight hundred seventy-three".